1180102874400 has 432 divisors, whose sum is σ = 4440397983840. Its totient is φ = 294044774400.

The previous prime is 1180102874393. The next prime is 1180102874441. The reversal of 1180102874400 is 44782010811.

1180102874400 is a `hidden beast` number, since 1 + 1 + 80 + 102 + 8 + 74 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9927315 + ... + 10045485.

Almost surely, 2^{1180102874400} is an apocalyptic number.

1180102874400 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 1180102874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220198991920).

1180102874400 is an abundant number, since it is smaller than the sum of its proper divisors (3260295109440).

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

1180102874400 is a wasteful number, since it uses less digits than its factorization.

1180102874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118289 (or 118273 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

It can be divided in two parts, 1180102 and 874400, that added together give a palindrome (2054502).

The spelling of 1180102874400 in words is "one trillion, one hundred eighty billion, one hundred two million, eight hundred seventy-four thousand, four hundred".