1159855040 has 112 divisors (see below), whose sum is σ = 2931932160. Its totient is φ = 436085760.

The previous prime is 1159855007. The next prime is 1159855043. The reversal of 1159855040 is 405589511.

It is a junction number, because it is equal to n+sod(n) for n = 1159854985 and 1159855003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159855043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432905 + ... + 435575.

Almost surely, 2^1159855040 is an apocalyptic number.

1159855040 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 1159855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465966080).

1159855040 is an abundant number, since it is smaller than the sum of its proper divisors (1772077120).

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

1159855040 is a wasteful number, since it uses less digits than its factorization.

1159855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 38.

The square root of 1159855040 is about 34056.6445792888. The cubic root of 1159855040 is about 1050.6738048536.

The spelling of 1159855040 in words is "one billion, one hundred fifty-nine million, eight hundred fifty-five thousand, forty".