42457475424 has 96 divisors (see below), whose sum is σ = 137170333440. Its totient is φ = 11197573632.

The previous prime is 42457475399. The next prime is 42457475429.

It is a happy number.

42457475424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42457475429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2421294 + ... + 2438765.

It is an arithmetic number, because the mean of its divisors is an integer number (1428857640).

Almost surely, 2^42457475424 is an apocalyptic number.

It is an amenable number.

42457475424 is an abundant number, since it is smaller than the sum of its proper divisors (94712858016).

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

42457475424 is a wasteful number, since it uses less digits than its factorization.

42457475424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860092 (or 4860084 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 48.

The spelling of 42457475424 in words is "forty-two billion, four hundred fifty-seven million, four hundred seventy-five thousand, four hundred twenty-four".