42631142400 has 1584 divisors, whose sum is σ = 199569726720. Its totient is φ = 8758886400.

The previous prime is 42631142377. The next prime is 42631142447. The reversal of 42631142400 is 424113624.

It is a happy number.

42631142400 is a `hidden beast` number, since 4 + 2 + 631 + 1 + 4 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 479001556 + ... + 479001644.

Almost surely, 2^42631142400 is an apocalyptic number.

42631142400 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 42631142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99784863360).

42631142400 is an abundant number, since it is smaller than the sum of its proper divisors (156938584320).

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

42631142400 is a wasteful number, since it uses less digits than its factorization.

42631142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 42631142400 in words is "forty-two billion, six hundred thirty-one million, one hundred forty-two thousand, four hundred".