42759404487360 has 1344 divisors, whose sum is σ = 171770735431680. Its totient is φ = 10123986216960.

The previous prime is 42759404487337. The next prime is 42759404487377. The reversal of 42759404487360 is 6378440495724.

42759404487360 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 94 + 0 + 4 + 487 + 3 + 60 = 666.

It is a super-2 number, since 2×42759404487360² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3641261649 + ... + 3641273391.

It is an arithmetic number, because the mean of its divisors is an integer number (127805606720).

Almost surely, 2^{42759404487360} is an apocalyptic number.

42759404487360 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 42759404487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85885367715840).

42759404487360 is an abundant number, since it is smaller than the sum of its proper divisors (129011330944320).

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

42759404487360 is a wasteful number, since it uses less digits than its factorization.

42759404487360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11846 (or 11807 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 42759404487360 in words is "forty-two trillion, seven hundred fifty-nine billion, four hundred four million, four hundred eighty-seven thousand, three hundred sixty".