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40040880808440 = 233510124171366861
BaseRepresentation
bin10010001101010101111100…
…11110100010000111111000
312020202212111211101020211210
421012222332132202013320
520222012210441332230
6221054305433523120
711301600232142121
oct1106527636420770
9166685454336753
1040040880808440
1111838273397576
1245a8235b734a0
131945ab9c84245
149c5dbba49048
1549684dbddeb0
hex246abe7a21f8

40040880808440 has 128 divisors (see below), whose sum is σ = 121362255443520. Its totient is φ = 10567468032000.

The previous prime is 40040880808403. The next prime is 40040880808441. The reversal of 40040880808440 is 4480808804004.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 40040880808440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40040880808441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28610610 + ... + 29977470.

Almost surely, 240040880808440 is an apocalyptic number.

40040880808440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40040880808440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60681127721760).

40040880808440 is an abundant number, since it is smaller than the sum of its proper divisors (81321374635080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40040880808440 is a wasteful number, since it uses less digits than its factorization.

40040880808440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369393 (or 1369389 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 40040880808440 in words is "forty trillion, forty billion, eight hundred eighty million, eight hundred eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2417 2424 3030 4040 4834 6060 7251 9668 12085 12120 14502 19336 24170 29004 36255 48340 58008 72510 96680 145020 244117 290040 488234 732351 976468 1220585 1366861 1464702 1952936 2441170 2733722 2929404 3661755 4100583 4882340 5467444 5858808 6834305 7323510 8201166 9764680 10934888 13668610 14647020 16402332 20502915 27337220 29294040 32804664 41005830 54674440 82011660 138052961 164023320 276105922 414158883 552211844 690264805 828317766 1104423688 1380529610 1656635532 2070794415 2761059220 3303703037 3313271064 4141588830 5522118440 6607406074 8283177660 9911109111 13214812148 16518515185 16566355320 19822218222 26429624296 33037030370 39644436444 49555545555 66074060740 79288872888 99111091110 132148121480 198222182220 333674006737 396444364440 667348013474 1001022020211 1334696026948 1668370033685 2002044040422 2669392053896 3336740067370 4004088080844 5005110101055 6673480134740 8008176161688 10010220202110 13346960269480 20020440404220 40040880808440