10313462400 has 192 divisors, whose sum is σ = 34354497600. Its totient is φ = 2719129600.

The previous prime is 10313462377. The next prime is 10313462429. The reversal of 10313462400 is 426431301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 848365 + ... + 860435.

It is an arithmetic number, because the mean of its divisors is an integer number (178929675).

Almost surely, 2^10313462400 is an apocalyptic number.

10313462400 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 10313462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17177248800).

10313462400 is an abundant number, since it is smaller than the sum of its proper divisors (24041035200).

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

10313462400 is a wasteful number, since it uses less digits than its factorization.

10313462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12187 (or 12170 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10313462400 its reverse (426431301), we get a palindrome (10739893701).

The spelling of 10313462400 in words is "ten billion, three hundred thirteen million, four hundred sixty-two thousand, four hundred".