1157041872 has 120 divisors (see below), whose sum is σ = 3709869696. Its totient is φ = 329764608.

The previous prime is 1157041871. The next prime is 1157041883. The reversal of 1157041872 is 2781407511.

1157041872 is a `hidden beast` number, since 1 + 1 + 570 + 4 + 1 + 87 + 2 = 666.

It is a super-2 number, since 2×1157041872² = 2677491787122528768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157041871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489718 + ... + 492074.

Almost surely, 2^1157041872 is an apocalyptic number.

1157041872 is a gapful number since it is divisible by the number (12) 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 1157041872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854934848).

1157041872 is an abundant number, since it is smaller than the sum of its proper divisors (2552827824).

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

1157041872 is a wasteful number, since it uses less digits than its factorization.

1157041872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 1157041872 is about 34015.3181963656. The cubic root of 1157041872 is about 1049.8236656266.

The spelling of 1157041872 in words is "one billion, one hundred fifty-seven million, forty-one thousand, eight hundred seventy-two".