10314332400 has 240 divisors, whose sum is σ = 35903575040. Its totient is φ = 2521497600.

The previous prime is 10314332383. The next prime is 10314332423. The reversal of 10314332400 is 423341301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699504 + ... + 714096.

Almost surely, 2^10314332400 is an apocalyptic number.

10314332400 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 10314332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17951787520).

10314332400 is an abundant number, since it is smaller than the sum of its proper divisors (25589242640).

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

10314332400 is a wasteful number, since it uses less digits than its factorization.

10314332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14664 (or 14653 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10314332400 its reverse (423341301), we get a palindrome (10737673701).

The spelling of 10314332400 in words is "ten billion, three hundred fourteen million, three hundred thirty-two thousand, four hundred".