1057439040 has 224 divisors, whose sum is σ = 3910705920. Its totient is φ = 237060096.

The previous prime is 1057439027. The next prime is 1057439059. The reversal of 1057439040 is 409347501.

1057439040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1057439040² = 2236354646632243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057438992 and 1057439010.

It is a congruent number.

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, 354676 + ... + 357644.

Almost surely, 2^1057439040 is an apocalyptic number.

1057439040 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 1057439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955352960).

1057439040 is an abundant number, since it is smaller than the sum of its proper divisors (2853266880).

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

1057439040 is a wasteful number, since it uses less digits than its factorization.

1057439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1057439040 is about 32518.2877778028. The cubic root of 1057439040 is about 1018.7910320583.

The spelling of 1057439040 in words is "one billion, fifty-seven million, four hundred thirty-nine thousand, forty".