23413102400 has 42 divisors (see below), whose sum is σ = 57610869030. Its totient is φ = 9365240320.

The previous prime is 23413102381. The next prime is 23413102459. The reversal of 23413102400 is 420131432.

It can be written as a sum of positive squares in 3 ways, for example, as 922701376 + 22490401024 = 30376^2 + 149968^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7314995 + ... + 7318194.

Almost surely, 2^23413102400 is an apocalyptic number.

23413102400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23413102400 is an abundant number, since it is smaller than the sum of its proper divisors (34197766630).

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

23413102400 is a wasteful number, since it uses less digits than its factorization.

23413102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14633211 (or 14633196 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23413102400 its reverse (420131432), we get a palindrome (23833233832).

The spelling of 23413102400 in words is "twenty-three billion, four hundred thirteen million, one hundred two thousand, four hundred".