10314304000 has 960 divisors, whose sum is σ = 36677152512. Its totient is φ = 2838528000.

The previous prime is 10314303991. The next prime is 10314304043. The reversal of 10314304000 is 40341301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 448447989 + ... + 448448011.

Almost surely, 2^10314304000 is an apocalyptic number.

10314304000 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 10314304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338576256).

10314304000 is an abundant number, since it is smaller than the sum of its proper divisors (26362848512).

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

10314304000 is a wasteful number, since it uses less digits than its factorization.

10314304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10314304000 its reverse (40341301), we get a palindrome (10354645301).

The spelling of 10314304000 in words is "ten billion, three hundred fourteen million, three hundred four thousand".