42231974400 has 1800 divisors, whose sum is σ = 203713149024. Its totient is φ = 8393932800.

The previous prime is 42231974399. The next prime is 42231974453. The reversal of 42231974400 is 447913224.

42231974400 is a `hidden beast` number, since 4 + 2 + 23 + 197 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1836172789 + ... + 1836172811.

Almost surely, 2^42231974400 is an apocalyptic number.

42231974400 is a gapful number since it is divisible by the number (40) 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 42231974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101856574512).

42231974400 is an abundant number, since it is smaller than the sum of its proper divisors (161481174624).

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

42231974400 is a wasteful number, since it uses less digits than its factorization.

42231974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 42231974400 in words is "forty-two billion, two hundred thirty-one million, nine hundred seventy-four thousand, four hundred".