10238342400 has 972 divisors, whose sum is σ = 43712986044. Its totient is φ = 2270822400.

The previous prime is 10238342399. The next prime is 10238342453. The reversal of 10238342400 is 424383201.

10238342400 is a `hidden beast` number, since 1 + 0 + 238 + 3 + 424 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3881788416 + 6356553984 = 62304^2 + 79728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 90604744 + ... + 90604856.

Almost surely, 2^10238342400 is an apocalyptic number.

10238342400 is a gapful number since it is divisible by the number (10) 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 10238342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21856493022).

10238342400 is an abundant number, since it is smaller than the sum of its proper divisors (33474643644).

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

10238342400 is a wasteful number, since it uses less digits than its factorization.

10238342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 147 counting only the distinct ones).

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

The spelling of 10238342400 in words is "ten billion, two hundred thirty-eight million, three hundred forty-two thousand, four hundred".