1057272040 has 128 divisors (see below), whose sum is σ = 2695835520. Its totient is φ = 369792000.

The previous prime is 1057272023. The next prime is 1057272059. The reversal of 1057272040 is 402727501.

It is a super-2 number, since 2×1057272040² = 2235648333131523200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1643959 + ... + 1644601.

It is an arithmetic number, because the mean of its divisors is an integer number (21061215).

Almost surely, 2^1057272040 is an apocalyptic number.

1057272040 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 1057272040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347917760).

1057272040 is an abundant number, since it is smaller than the sum of its proper divisors (1638563480).

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

1057272040 is a wasteful number, since it uses less digits than its factorization.

1057272040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 1057272040 is about 32515.7198905391. The cubic root of 1057272040 is about 1018.7373971116.

Adding to 1057272040 its reverse (402727501), we get a palindrome (1459999541).

The spelling of 1057272040 in words is "one billion, fifty-seven million, two hundred seventy-two thousand, forty".