1156456440 has 112 divisors (see below), whose sum is σ = 3901354200. Its totient is φ = 308380608.

The previous prime is 1156456439. The next prime is 1156456459. The reversal of 1156456440 is 446546511.

1156456440 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 4 + 5 + 644 + 0 = 666.

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 = 1156456395 and 1156456404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9331 + ... + 48989.

Almost surely, 2^1156456440 is an apocalyptic number.

1156456440 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 1156456440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950677100).

1156456440 is an abundant number, since it is smaller than the sum of its proper divisors (2744897760).

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

1156456440 is an equidigital number, since it uses as much as digits as its factorization.

1156456440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39688 (or 39669 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1156456440 is about 34006.7116904884. The cubic root of 1156456440 is about 1049.6465749297.

The spelling of 1156456440 in words is "one billion, one hundred fifty-six million, four hundred fifty-six thousand, four hundred forty".