1316039400 has 288 divisors, whose sum is σ = 4938329760. Its totient is φ = 323792640.

The previous prime is 1316039383. The next prime is 1316039423. The reversal of 1316039400 is 49306131.

1316039400 is a `hidden beast` number, since 13 + 1 + 603 + 9 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 630759 + ... + 632841.

Almost surely, 2^1316039400 is an apocalyptic number.

1316039400 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 1316039400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469164880).

1316039400 is an abundant number, since it is smaller than the sum of its proper divisors (3622290360).

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

1316039400 is a wasteful number, since it uses less digits than its factorization.

1316039400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1316039400 is about 36277.2573384483. The cubic root of 1316039400 is about 1095.8630838433.

The spelling of 1316039400 in words is "one billion, three hundred sixteen million, thirty-nine thousand, four hundred".