1057042080 has 72 divisors (see below), whose sum is σ = 3607161012. Its totient is φ = 281877504.

The previous prime is 1057042057. The next prime is 1057042093. The reversal of 1057042080 is 802407501.

1057042080 is a `hidden beast` number, since 10 + 570 + 4 + 2 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1021185936 + 35856144 = 31956^2 + 5988^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1057042080² = 2234675917781452800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 365589 + ... + 368468.

Almost surely, 2^1057042080 is an apocalyptic number.

1057042080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057042080 is an abundant number, since it is smaller than the sum of its proper divisors (2550118932).

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

1057042080 is a wasteful number, since it uses less digits than its factorization.

1057042080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734078 (or 734067 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1057042080 is about 32512.1835624739. The cubic root of 1057042080 is about 1018.6635322248.

Adding to 1057042080 its reverse (802407501), we get a palindrome (1859449581).

It can be divided in two parts, 10570 and 42080, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 1057042080 in words is "one billion, fifty-seven million, forty-two thousand, eighty".