1315116400 has 120 divisors (see below), whose sum is σ = 3475652544. Its totient is φ = 475161600.

The previous prime is 1315116371. The next prime is 1315116427. The reversal of 1315116400 is 46115131.

It is a super-2 number, since 2×1315116400² = 3459062291097920000, which contains 22 as substring.

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, 241710 + ... + 247090.

Almost surely, 2^1315116400 is an apocalyptic number.

1315116400 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 1315116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737826272).

1315116400 is an abundant number, since it is smaller than the sum of its proper divisors (2160536144).

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

1315116400 is a wasteful number, since it uses less digits than its factorization.

1315116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5459 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1315116400 is about 36264.5336382532. The cubic root of 1315116400 is about 1095.6068305768.

The spelling of 1315116400 in words is "one billion, three hundred fifteen million, one hundred sixteen thousand, four hundred".