42042022400 has 120 divisors (see below), whose sum is σ = 119042990880. Its totient is φ = 14414376960.

The previous prime is 42042022387. The next prime is 42042022411. The reversal of 42042022400 is 422024024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145010 + ... + 324209.

It is an arithmetic number, because the mean of its divisors is an integer number (992024924).

Almost surely, 2^42042022400 is an apocalyptic number.

42042022400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42042022400 is an abundant number, since it is smaller than the sum of its proper divisors (77000968480).

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

42042022400 is an equidigital number, since it uses as much as digits as its factorization.

42042022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469254 (or 469233 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42042022400 its reverse (422024024), we get a palindrome (42464046424).

The spelling of 42042022400 in words is "forty-two billion, forty-two million, twenty-two thousand, four hundred".