42370334400 has 168 divisors, whose sum is σ = 146326636480. Its totient is φ = 10704061440.

The previous prime is 42370334393. The next prime is 42370334407. The reversal of 42370334400 is 443307324.

It is an interprime number because it is at equal distance from previous prime (42370334393) and next prime (42370334407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42370334407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141094 + ... + 323493.

Almost surely, 2^42370334400 is an apocalyptic number.

42370334400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42370334400 is an abundant number, since it is smaller than the sum of its proper divisors (103956302080).

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

42370334400 is a wasteful number, since it uses less digits than its factorization.

42370334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464631 (or 464616 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 30.

The spelling of 42370334400 in words is "forty-two billion, three hundred seventy million, three hundred thirty-four thousand, four hundred".