1159367040 has 384 divisors, whose sum is σ = 4457440800. Its totient is φ = 284663808.

The previous prime is 1159367039. The next prime is 1159367057. The reversal of 1159367040 is 407639511.

1159367040 is a `hidden beast` number, since 1 + 1 + 593 + 67 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 1159366986 and 1159367004.

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, 2920122 + ... + 2920518.

Almost surely, 2^1159367040 is an apocalyptic number.

1159367040 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 1159367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228720400).

1159367040 is an abundant number, since it is smaller than the sum of its proper divisors (3298073760).

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

1159367040 is a wasteful number, since it uses less digits than its factorization.

1159367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1159367040 is about 34049.4792911727. The cubic root of 1159367040 is about 1050.5264299016.

The spelling of 1159367040 in words is "one billion, one hundred fifty-nine million, three hundred sixty-seven thousand, forty".