10404313400 has 96 divisors (see below), whose sum is σ = 26542676160. Its totient is φ = 3769059840.

The previous prime is 10404313399. The next prime is 10404313421. The reversal of 10404313400 is 431340401.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100049 + ... + 175551.

It is an arithmetic number, because the mean of its divisors is an integer number (276486210).

Almost surely, 2^10404313400 is an apocalyptic number.

10404313400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13271338080).

10404313400 is an abundant number, since it is smaller than the sum of its proper divisors (16138362760).

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

10404313400 is a wasteful number, since it uses less digits than its factorization.

10404313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75585 (or 75576 counting only the distinct ones).

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

Adding to 10404313400 its reverse (431340401), we get a palindrome (10835653801).

The spelling of 10404313400 in words is "ten billion, four hundred four million, three hundred thirteen thousand, four hundred".