10318496400 has 135 divisors (see below), whose sum is σ = 35829211899. Its totient is φ = 2749973760.

The previous prime is 10318496359. The next prime is 10318496449. The reversal of 10318496400 is 469481301.

The square root of 10318496400 is 101580.

It is a perfect power (a square), and thus also a powerful number.

10318496400 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 8 + 4 + 9 + 640 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 692531856 + 9625964544 = 26316^2 + 98112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6093954 + ... + 6095646.

Almost surely, 2^10318496400 is an apocalyptic number.

10318496400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10318496400 is the 101580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10318496400

10318496400 is an abundant number, since it is smaller than the sum of its proper divisors (25510715499).

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

10318496400 is an equidigital number, since it uses as much as digits as its factorization.

10318496400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 10318496400 by its sum of digits (36), we get a square (371465870400 = 609480²).

10318496400 divided by its sum of digits (36) gives a square (286624900 = 16930²).

Multiplying 10318496400 by its product of nonzero digits (20736), we get a square (213964341350400 = 14627520²).

The spelling of 10318496400 in words is "ten billion, three hundred eighteen million, four hundred ninety-six thousand, four hundred".