1157086441 has 12 divisors (see below), whose sum is σ = 1377303312. Its totient is φ = 968721768.

The previous prime is 1157086433. The next prime is 1157086471. The reversal of 1157086441 is 1446807511.

It is not a de Polignac number, because 1157086441 - 2³ = 1157086433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1157086441.

It is not an unprimeable number, because it can be changed into a prime (1157086471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272475 + ... + 276688.

It is an arithmetic number, because the mean of its divisors is an integer number (114775276).

Almost surely, 2^1157086441 is an apocalyptic number.

It is an amenable number.

1157086441 is a deficient number, since it is larger than the sum of its proper divisors (220216871).

1157086441 is an equidigital number, since it uses as much as digits as its factorization.

1157086441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549220 (or 549213 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 1157086441 is about 34015.9733213677. The cubic root of 1157086441 is about 1049.8371451129.

The spelling of 1157086441 in words is "one billion, one hundred fifty-seven million, eighty-six thousand, four hundred forty-one".