42422133122424 has 96 divisors (see below), whose sum is σ = 126579092318640. Its totient is φ = 12727912704000.

The previous prime is 42422133122419. The next prime is 42422133122459.

42422133122424 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 213 + 3 + 12 + 2 + 424 = 666.

42422133122424 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42422133122424³ (a number of 42 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265084857 + ... + 265244840.

Almost surely, 2^{42422133122424} is an apocalyptic number.

42422133122424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42422133122424 is an abundant number, since it is smaller than the sum of its proper divisors (84156959196216).

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

42422133122424 is a wasteful number, since it uses less digits than its factorization.

42422133122424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530329821 (or 530329814 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 4242213 and 3122424, that added together give a palindrome (7364637).

The spelling of 42422133122424 in words is "forty-two trillion, four hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-two thousand, four hundred twenty-four".