1157042880 has 420 divisors, whose sum is σ = 4793028768. Its totient is φ = 264176640.

The previous prime is 1157042863. The next prime is 1157042893. The reversal of 1157042880 is 882407511.

1157042880 is a `hidden beast` number, since 1 + 1 + 570 + 4 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

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 59 ways as a sum of consecutive naturals, for example, 1269625 + ... + 1270535.

Almost surely, 2^1157042880 is an apocalyptic number.

1157042880 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 1157042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396514384).

1157042880 is an abundant number, since it is smaller than the sum of its proper divisors (3635985888).

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

1157042880 is an equidigital number, since it uses as much as digits as its factorization.

1157042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1157042880 is about 34015.3330132163. Note that the first 3 decimals coincide. The cubic root of 1157042880 is about 1049.8239704908.

The spelling of 1157042880 in words is "one billion, one hundred fifty-seven million, forty-two thousand, eight hundred eighty".