42455522555424 has 768 divisors, whose sum is σ = 139617087160320. Its totient is φ = 12438489600000.

The previous prime is 42455522555423. The next prime is 42455522555447.

It is a happy number.

42455522555424 is a `hidden beast` number, since 4 + 2 + 45 + 5 + 5 + 2 + 2 + 55 + 542 + 4 = 666.

42455522555424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42455522555424² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42455522555423) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56531987049 + ... + 56531987799.

It is an arithmetic number, because the mean of its divisors is an integer number (181793082240).

Almost surely, 2^{42455522555424} is an apocalyptic number.

42455522555424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42455522555424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69808543580160).

42455522555424 is an abundant number, since it is smaller than the sum of its proper divisors (97161564604896).

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

42455522555424 is a wasteful number, since it uses less digits than its factorization.

42455522555424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1608 counting only the distinct ones).

The product of its digits is 64000000, while the sum is 54.

The spelling of 42455522555424 in words is "forty-two trillion, four hundred fifty-five billion, five hundred twenty-two million, five hundred fifty-five thousand, four hundred twenty-four".