23414202104400 has 90 divisors (see below), whose sum is σ = 81253785259790. Its totient is φ = 6243787226880.

The previous prime is 23414202104389. The next prime is 23414202104497. The reversal of 23414202104400 is 440120241432.

23414202104400 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 4 + 2 + 0 + 210 + 440 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3228734609424 + 20185467494976 = 1796868^2 + 4492824^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3251968915 + ... + 3251976114.

Almost surely, 2^{23414202104400} is an apocalyptic number.

23414202104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23414202104400 is an abundant number, since it is smaller than the sum of its proper divisors (57839583155390).

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

23414202104400 is a wasteful number, since it uses less digits than its factorization.

23414202104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6503945053 (or 6503945039 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 23414202104400 its reverse (440120241432), we get a palindrome (23854322345832).

The spelling of 23414202104400 in words is "twenty-three trillion, four hundred fourteen billion, two hundred two million, one hundred four thousand, four hundred".