1180131840 has 480 divisors, whose sum is σ = 4550173056. Its totient is φ = 281149440.

The previous prime is 1180131787. The next prime is 1180131851. The reversal of 1180131840 is 481310811.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1180131840² = 2785422319563571200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9008575 + ... + 9008705.

Almost surely, 2^1180131840 is an apocalyptic number.

1180131840 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 1180131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275086528).

1180131840 is an abundant number, since it is smaller than the sum of its proper divisors (3370041216).

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

1180131840 is a wasteful number, since it uses less digits than its factorization.

1180131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1180131840 is about 34353.0470264284. The cubic root of 1180131840 is about 1056.7611592176.

The spelling of 1180131840 in words is "one billion, one hundred eighty million, one hundred thirty-one thousand, eight hundred forty".