1314086400 has 720 divisors, whose sum is σ = 5521106448. Its totient is φ = 294912000.

The previous prime is 1314086363. The next prime is 1314086437. The reversal of 1314086400 is 46804131.

1314086400 is a `hidden beast` number, since 1 + 3 + 14 + 0 + 8 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1314086363) and next prime (1314086437).

It is a tau number, because it is divible by the number of its divisors (720).

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21542370 + ... + 21542430.

Almost surely, 2^1314086400 is an apocalyptic number.

1314086400 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 1314086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760553224).

1314086400 is an abundant number, since it is smaller than the sum of its proper divisors (4207020048).

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

1314086400 is a wasteful number, since it uses less digits than its factorization.

1314086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1314086400 is about 36250.3296536735. The cubic root of 1314086400 is about 1095.3207292170.

The spelling of 1314086400 in words is "one billion, three hundred fourteen million, eighty-six thousand, four hundred".