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2404412040440 = 2354314980911597
BaseRepresentation
bin100010111111010010001…
…000000010010011111000
322111212012121110002122002
4202333102020002103320
5303343213440243230
65040323250320132
7335466400062524
oct42772210022370
98455177402562
102404412040440
11847783a064a3
12329ba8889048
13145972c8cc17
14845349c2d84
1542826ddc545
hex22fd22024f8

2404412040440 has 128 divisors (see below), whose sum is σ = 5580261720000. Its totient is φ = 931859755008.

The previous prime is 2404412040427. The next prime is 2404412040449. The reversal of 2404412040440 is 440402144042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404412040449) 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, 207324722 + ... + 207336318.

Almost surely, 22404412040440 is an apocalyptic number.

2404412040440 is a gapful number since it is divisible by the number (20) 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 2404412040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790130860000).

2404412040440 is an abundant number, since it is smaller than the sum of its proper divisors (3175849679560).

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

2404412040440 is a wasteful number, since it uses less digits than its factorization.

2404412040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12609 (or 12605 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 2404412040440 its reverse (440402144042), we get a palindrome (2844814184482).

The spelling of 2404412040440 in words is "two trillion, four hundred four billion, four hundred twelve million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 149 172 215 298 344 430 596 745 809 860 1192 1490 1618 1720 2980 3236 4045 5960 6407 6472 8090 11597 12814 16180 23194 25628 32035 32360 34787 46388 51256 57985 64070 69574 92776 115970 120541 128140 139148 173935 231940 241082 256280 278296 347870 463880 482164 498671 602705 695740 964328 997342 1205410 1391480 1727953 1994684 2410820 2493355 3455906 3989368 4821640 4986710 5183263 6911812 8639765 9381973 9973420 10366526 13823624 17279530 18763946 19946840 20733052 25916315 34559060 37527892 41466104 46909865 51832630 69118120 74301979 75055784 93819730 103665260 148603958 187639460 207330520 297207916 371509895 375278920 403424839 594415832 743019790 806849678 1397913977 1486039580 1613699356 2017124195 2795827954 2972079160 3227398712 4034248390 5591655908 6989569885 8068496780 11183311816 13979139770 16136993560 27958279540 55916559080 60110301011 120220602022 240441204044 300551505055 480882408088 601103010110 1202206020220 2404412040440