1159917440 has 256 divisors, whose sum is σ = 3200955840. Its totient is φ = 398131200.

The previous prime is 1159917401. The next prime is 1159917457. The reversal of 1159917440 is 447199511.

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 31 ways as a sum of consecutive naturals, for example, 15889244 + ... + 15889316.

Almost surely, 2^1159917440 is an apocalyptic number.

1159917440 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 1159917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600477920).

1159917440 is an abundant number, since it is smaller than the sum of its proper divisors (2041038400).

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

1159917440 is a wasteful number, since it uses less digits than its factorization.

1159917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 1159917440 is about 34057.5606877533. The cubic root of 1159917440 is about 1050.6926465385.

The spelling of 1159917440 in words is "one billion, one hundred fifty-nine million, nine hundred seventeen thousand, four hundred forty".