10235424400 has 30 divisors (see below), whose sum is σ = 24590608082. Its totient is φ = 4094169600.

The previous prime is 10235424359. The next prime is 10235424403. The reversal of 10235424400 is 442453201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1154096784 + 9081327616 = 33972^2 + 95296^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10235424403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12793881 + ... + 12794680.

Almost surely, 2^10235424400 is an apocalyptic number.

10235424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10235424400 is an abundant number, since it is smaller than the sum of its proper divisors (14355183682).

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

10235424400 is a wasteful number, since it uses less digits than its factorization.

10235424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25588579 (or 25588568 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10235424400 its reverse (442453201), we get a palindrome (10677877601).

The spelling of 10235424400 in words is "ten billion, two hundred thirty-five million, four hundred twenty-four thousand, four hundred".