10314440400 has 120 divisors (see below), whose sum is σ = 36044326944. Its totient is φ = 2500467200.

The previous prime is 10314440359. The next prime is 10314440429. The reversal of 10314440400 is 404441301.

It is a tau number, because it is divible by the number of its divisors (120).

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, 377499 + ... + 403898.

Almost surely, 2^10314440400 is an apocalyptic number.

10314440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10314440400 is an abundant number, since it is smaller than the sum of its proper divisors (25729886544).

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

10314440400 is a wasteful number, since it uses less digits than its factorization.

10314440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781429 (or 781418 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10314440400 its reverse (404441301), we get a palindrome (10718881701).

Subtracting from 10314440400 its reverse (404441301), we obtain a palindrome (9909999099).

The spelling of 10314440400 in words is "ten billion, three hundred fourteen million, four hundred forty thousand, four hundred".