23040013120400 has 60 divisors (see below), whose sum is σ = 55362383636100. Its totient is φ = 9214548080640.

The previous prime is 23040013120393. The next prime is 23040013120451. The reversal of 23040013120400 is 402131004032.

It can be written as a sum of positive squares in 6 ways, for example, as 621379052176 + 22418634068224 = 788276^2 + 4734832^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2018885 + ... + 7082084.

It is an arithmetic number, because the mean of its divisors is an integer number (922706393935).

Almost surely, 2^{23040013120400} is an apocalyptic number.

23040013120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23040013120400 is an abundant number, since it is smaller than the sum of its proper divisors (32322370515700).

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

23040013120400 is a wasteful number, since it uses less digits than its factorization.

23040013120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9107316 (or 9107305 counting only the distinct ones).

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

Adding to 23040013120400 its reverse (402131004032), we get a palindrome (23442144124432).

The spelling of 23040013120400 in words is "twenty-three trillion, forty billion, thirteen million, one hundred twenty thousand, four hundred".