42731254800 has 360 divisors, whose sum is σ = 161359687944. Its totient is φ = 10408919040.

The previous prime is 42731254799. The next prime is 42731254817. The reversal of 42731254800 is 845213724.

It is a happy number.

42731254800 is a `hidden beast` number, since 42 + 73 + 1 + 2 + 548 + 0 + 0 = 666.

42731254800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5977763856 + 36753490944 = 77316^2 + 191712^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4534894 + ... + 4544306.

Almost surely, 2^42731254800 is an apocalyptic number.

42731254800 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 42731254800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80679843972).

42731254800 is an abundant number, since it is smaller than the sum of its proper divisors (118628433144).

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

42731254800 is a wasteful number, since it uses less digits than its factorization.

42731254800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9547 (or 9533 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 42731254800 in words is "forty-two billion, seven hundred thirty-one million, two hundred fifty-four thousand, eight hundred".