42402004800 has 84 divisors (see below), whose sum is σ = 139113926496. Its totient is φ = 11307200000.

The previous prime is 42402004793. The next prime is 42402004807. The reversal of 42402004800 is 840020424.

It is an interprime number because it is at equal distance from previous prime (42402004793) and next prime (42402004807).

It is a super-2 number, since 2×42402004800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42402004807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4412076 + ... + 4421675.

Almost surely, 2^42402004800 is an apocalyptic number.

42402004800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42402004800 is an abundant number, since it is smaller than the sum of its proper divisors (96711921696).

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

42402004800 is a wasteful number, since it uses less digits than its factorization.

42402004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8833776 (or 8833761 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 42402004800 in words is "forty-two billion, four hundred two million, four thousand, eight hundred".