10404412400 has 60 divisors (see below), whose sum is σ = 25019827200. Its totient is φ = 4157898240.

The previous prime is 10404412387. The next prime is 10404412409. The reversal of 10404412400 is 421440401.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10404412409) 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, 440081 + ... + 463119.

It is an arithmetic number, because the mean of its divisors is an integer number (416997120).

Almost surely, 2^10404412400 is an apocalyptic number.

10404412400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10404412400 is an abundant number, since it is smaller than the sum of its proper divisors (14615414800).

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

10404412400 is a wasteful number, since it uses less digits than its factorization.

10404412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24186 (or 24175 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10404412400 its reverse (421440401), we get a palindrome (10825852801).

The spelling of 10404412400 in words is "ten billion, four hundred four million, four hundred twelve thousand, four hundred".