42457572351252 has 84 divisors (see below), whose sum is σ = 117953117806356. Its totient is φ = 13320022682880.

The previous prime is 42457572351241. The next prime is 42457572351253. The reversal of 42457572351252 is 25215327575424.

42457572351252 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 7 + 5 + 72 + 3 + 512 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26057696646276 + 16399875704976 = 5104674^2 + 4049676^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42457572351253) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 428191899 + ... + 428291042.

It is an arithmetic number, because the mean of its divisors is an integer number (1404203783409).

Almost surely, 2^{42457572351252} is an apocalyptic number.

It is an amenable number.

42457572351252 is an abundant number, since it is smaller than the sum of its proper divisors (75495545455104).

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

42457572351252 is a wasteful number, since it uses less digits than its factorization.

42457572351252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856482980 (or 856482963 counting only the distinct ones).

The product of its digits is 23520000, while the sum is 54.

The spelling of 42457572351252 in words is "forty-two trillion, four hundred fifty-seven billion, five hundred seventy-two million, three hundred fifty-one thousand, two hundred fifty-two".