1131863040 has 792 divisors, whose sum is σ = 5096538720. Its totient is φ = 227082240.

The previous prime is 1131863023. The next prime is 1131863063. The reversal of 1131863040 is 403681311.

1131863040 is a `hidden beast` number, since 1 + 13 + 18 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×1131863040² = 2562227882636083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131862995 and 1131863013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39029746 + ... + 39029774.

Almost surely, 2^1131863040 is an apocalyptic number.

1131863040 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 1131863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548269360).

1131863040 is an abundant number, since it is smaller than the sum of its proper divisors (3964675680).

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

1131863040 is a wasteful number, since it uses less digits than its factorization.

1131863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1131863040 is about 33643.1722642203. The cubic root of 1131863040 is about 1042.1525436638.

The spelling of 1131863040 in words is "one billion, one hundred thirty-one million, eight hundred sixty-three thousand, forty".