42057531252 has 144 divisors (see below), whose sum is σ = 117753435072. Its totient is φ = 12550487040.

The previous prime is 42057531239. The next prime is 42057531253. The reversal of 42057531252 is 25213575024.

42057531252 is a `hidden beast` number, since 4 + 2 + 0 + 575 + 31 + 2 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42057531253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11074618 + ... + 11078414.

It is an arithmetic number, because the mean of its divisors is an integer number (817732188).

Almost surely, 2^42057531252 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 42057531252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58876717536).

42057531252 is an abundant number, since it is smaller than the sum of its proper divisors (75695903820).

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

42057531252 is a wasteful number, since it uses less digits than its factorization.

42057531252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 42057531252 in words is "forty-two billion, fifty-seven million, five hundred thirty-one thousand, two hundred fifty-two".