1115734400 has 192 divisors, whose sum is σ = 3113305200. Its totient is φ = 391372800.

The previous prime is 1115734391. The next prime is 1115734421. The reversal of 1115734400 is 44375111.

It is a self number, because there is not a number n which added to its sum of digits gives 1115734400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020254 + ... + 1021346.

Almost surely, 2^1115734400 is an apocalyptic number.

1115734400 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 1115734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556652600).

1115734400 is an abundant number, since it is smaller than the sum of its proper divisors (1997570800).

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

1115734400 is a wasteful number, since it uses less digits than its factorization.

1115734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1115734400 is about 33402.6106764127. The cubic root of 1115734400 is about 1037.1787441023.

The spelling of 1115734400 in words is "one billion, one hundred fifteen million, seven hundred thirty-four thousand, four hundred".