23411856416400 has 225 divisors, whose sum is σ = 84026399815083. Its totient is φ = 6242929459200.

The previous prime is 23411856416383. The next prime is 23411856416407. The reversal of 23411856416400 is 461465811432.

The square root of 23411856416400 is 4838580.

It is a perfect power (a square), and thus also a powerful number.

23411856416400 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 185 + 64 + 1 + 6 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 526884353424 + 22884972062976 = 725868^2 + 4783824^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23411856416407) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 870930960 + ... + 870957840.

Almost surely, 2^{23411856416400} is an apocalyptic number.

23411856416400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23411856416400 is the 4838580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23411856416400

23411856416400 is an abundant number, since it is smaller than the sum of its proper divisors (60614543398683).

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

23411856416400 is an frugal number, since it uses more digits than its factorization.

23411856416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53792 (or 26891 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 23411856416400 in words is "twenty-three trillion, four hundred eleven billion, eight hundred fifty-six million, four hundred sixteen thousand, four hundred".