10023413104400 has 60 divisors (see below), whose sum is σ = 24092924894592. Its totient is φ = 4007421448320.

The previous prime is 10023413104387. The next prime is 10023413104409. The reversal of 10023413104400 is 440131432001.

10023413104400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10023413104400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10023413104409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5248124 + ... + 6898523.

Almost surely, 2^{10023413104400} is an apocalyptic number.

10023413104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023413104400 is an abundant number, since it is smaller than the sum of its proper divisors (14069511790192).

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

10023413104400 is a wasteful number, since it uses less digits than its factorization.

10023413104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12148728 (or 12148717 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10023413104400 its reverse (440131432001), we get a palindrome (10463544536401).

The spelling of 10023413104400 in words is "ten trillion, twenty-three billion, four hundred thirteen million, one hundred four thousand, four hundred".