1314192000 has 512 divisors, whose sum is σ = 5040921600. Its totient is φ = 299520000.

The previous prime is 1314191993. The next prime is 1314192013. The reversal of 1314192000 is 2914131.

It is a super-2 number, since 2×1314192000² = 3454201225728000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10031935 + ... + 10032065.

It is an arithmetic number, because the mean of its divisors is an integer number (9845550).

Almost surely, 2^1314192000 is an apocalyptic number.

1314192000 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 1314192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520460800).

1314192000 is an abundant number, since it is smaller than the sum of its proper divisors (3726729600).

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

1314192000 is a wasteful number, since it uses less digits than its factorization.

1314192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1314192000 is about 36251.7861628913. The cubic root of 1314192000 is about 1095.3500684271.

The spelling of 1314192000 in words is "one billion, three hundred fourteen million, one hundred ninety-two thousand".