42715564130304 has 1200 divisors, whose sum is σ = 144322527267072. Its totient is φ = 12543426035712.

The previous prime is 42715564130237. The next prime is 42715564130341. The reversal of 42715564130304 is 40303146551724.

42715564130304 is a `hidden beast` number, since 4 + 2 + 7 + 155 + 64 + 130 + 304 = 666.

It is a super-2 number, since 2×42715564130304² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42715564130304.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96423395107 + ... + 96423395549.

Almost surely, 2^{42715564130304} 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 42715564130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72161263633536).

42715564130304 is an abundant number, since it is smaller than the sum of its proper divisors (101606963136768).

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

42715564130304 is an frugal number, since it uses more digits than its factorization.

42715564130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 42715564130304 in words is "forty-two trillion, seven hundred fifteen billion, five hundred sixty-four million, one hundred thirty thousand, three hundred four".