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40408423378368 = 2632931279561607
BaseRepresentation
bin10010011000000010100011…
…01110001010110111000000
312022002000012111120100010220
421030001101232022313000
520244022422341101433
6221535212354423040
711340261254346123
oct1114012156126700
9168060174510126
1040408423378368
111196a1306082a1
12464750b291a80
131971662084556
149d9ac72743ba
154a11b0d912b3
hex24c051b8adc0

40408423378368 has 112 divisors (see below), whose sum is σ = 107362915860480. Its totient is φ = 13412984361984.

The previous prime is 40408423378319. The next prime is 40408423378373. The reversal of 40408423378368 is 86387332480404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71670621 + ... + 72232227.

It is an arithmetic number, because the mean of its divisors is an integer number (958597463040).

Almost surely, 240408423378368 is an apocalyptic number.

40408423378368 is a gapful number since it is divisible by the number (48) 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 40408423378368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53681457930240).

40408423378368 is an abundant number, since it is smaller than the sum of its proper divisors (66954492482112).

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

40408423378368 is a wasteful number, since it uses less digits than its factorization.

40408423378368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563194 (or 563184 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 60.

The spelling of 40408423378368 in words is "forty trillion, four hundred eight billion, four hundred twenty-three million, three hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 293 586 879 1172 1279 1758 2344 2558 3516 3837 4688 5116 7032 7674 9376 10232 14064 15348 18752 20464 28128 30696 40928 56256 61392 81856 122784 245568 374747 561607 749494 1123214 1124241 1498988 1684821 2246428 2248482 2997976 3369642 4492856 4496964 5995952 6739284 8985712 8993928 11991904 13478568 17971424 17987856 23983808 26957136 35942848 35975712 53914272 71951424 107828544 164550851 329101702 493652553 658203404 718295353 987305106 1316406808 1436590706 1974610212 2154886059 2632813616 2873181412 3949220424 4309772118 5265627232 5746362824 7898440848 8619544236 10531254464 11492725648 15796881696 17239088472 22985451296 31593763392 34478176944 45970902592 68956353888 137912707776 210460538429 420921076858 631381615287 841842153716 1262763230574 1683684307432 2525526461148 3367368614864 5051052922296 6734737229728 10102105844592 13469474459456 20204211689184 40408423378368