42565071024 has 600 divisors, whose sum is σ = 152699789088. Its totient is φ = 11204904960.

The previous prime is 42565071011. The next prime is 42565071037. The reversal of 42565071024 is 42017056524.

It is a happy number.

42565071024 is a `hidden beast` number, since 4 + 2 + 565 + 0 + 71 + 0 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (42565071011) and next prime (42565071037).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42565071024.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 134274514 + ... + 134274830.

Almost surely, 2^42565071024 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 42565071024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76349894544).

42565071024 is an abundant number, since it is smaller than the sum of its proper divisors (110134718064).

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

42565071024 is a wasteful number, since it uses less digits than its factorization.

42565071024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 42565071024 in words is "forty-two billion, five hundred sixty-five million, seventy-one thousand, twenty-four".