1116158400 has 336 divisors, whose sum is σ = 4651329280. Its totient is φ = 255052800.

The previous prime is 1116158399. The next prime is 1116158431. The reversal of 1116158400 is 48516111.

1116158400 is a `hidden beast` number, since 1 + 1 + 1 + 615 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300555 + ... + 304245.

Almost surely, 2^1116158400 is an apocalyptic number.

1116158400 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 1116158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325664640).

1116158400 is an abundant number, since it is smaller than the sum of its proper divisors (3535170880).

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

1116158400 is a wasteful number, since it uses less digits than its factorization.

1116158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1116158400 is about 33408.9568828480. The cubic root of 1116158400 is about 1037.3101099223.

The spelling of 1116158400 in words is "one billion, one hundred sixteen million, one hundred fifty-eight thousand, four hundred".