42013215808740 has 288 divisors, whose sum is σ = 139370985936000. Its totient is φ = 10159735449600.

The previous prime is 42013215808699. The next prime is 42013215808789. The reversal of 42013215808740 is 4780851231024.

42013215808740 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 3 + 21 + 580 + 8 + 7 + 40 = 666.

It is a super-2 number, since 2×42013215808740² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2328754120 + ... + 2328772160.

It is an arithmetic number, because the mean of its divisors is an integer number (483927034500).

Almost surely, 2^{42013215808740} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42013215808740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69685492968000).

42013215808740 is an abundant number, since it is smaller than the sum of its proper divisors (97357770127260).

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

42013215808740 is a wasteful number, since it uses less digits than its factorization.

42013215808740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20923 (or 20918 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 42013215808740 in words is "forty-two trillion, thirteen billion, two hundred fifteen million, eight hundred eight thousand, seven hundred forty".