10314034400 has 36 divisors (see below), whose sum is σ = 25179138432. Its totient is φ = 4125613440.

The previous prime is 10314034399. The next prime is 10314034441. The reversal of 10314034400 is 443041301.

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 5 ways as a sum of consecutive naturals, for example, 6445472 + ... + 6447071.

It is an arithmetic number, because the mean of its divisors is an integer number (699420512).

Almost surely, 2^10314034400 is an apocalyptic number.

10314034400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10314034400 is an abundant number, since it is smaller than the sum of its proper divisors (14865104032).

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

10314034400 is a wasteful number, since it uses less digits than its factorization.

10314034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12892563 (or 12892550 counting only the distinct ones).

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

Adding to 10314034400 its reverse (443041301), we get a palindrome (10757075701).

The spelling of 10314034400 in words is "ten billion, three hundred fourteen million, thirty-four thousand, four hundred".