1057391140 has 48 divisors (see below), whose sum is σ = 2404649520. Its totient is φ = 388247040.

The previous prime is 1057391123. The next prime is 1057391147. The reversal of 1057391140 is 411937501.

It can be written as a sum of positive squares in 8 ways, for example, as 216855076 + 840536064 = 14726^2 + 28992^2 .

It is a super-2 number, since 2×1057391140² = 2236152045900999200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057391147) 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, 35826 + ... + 58294.

It is an arithmetic number, because the mean of its divisors is an integer number (50096865).

Almost surely, 2^1057391140 is an apocalyptic number.

1057391140 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 1057391140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202324760).

1057391140 is an abundant number, since it is smaller than the sum of its proper divisors (1347258380).

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

1057391140 is a wasteful number, since it uses less digits than its factorization.

1057391140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22672 (or 22670 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 1057391140 is about 32517.5512608191. The cubic root of 1057391140 is about 1018.7756487200.

The spelling of 1057391140 in words is "one billion, fifty-seven million, three hundred ninety-one thousand, one hundred forty".