1057244040 has 192 divisors, whose sum is σ = 3566384640. Its totient is φ = 271426560.

The previous prime is 1057244033. The next prime is 1057244087. The reversal of 1057244040 is 404427501.

1057244040 is a `hidden beast` number, since 10 + 572 + 4 + 40 + 40 = 666.

It is a super-2 number, since 2×1057244040² = 2235529920231043200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057243995 and 1057244013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1224649 + ... + 1225511.

It is an arithmetic number, because the mean of its divisors is an integer number (18574920).

Almost surely, 2^1057244040 is an apocalyptic number.

1057244040 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 1057244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783192320).

1057244040 is an abundant number, since it is smaller than the sum of its proper divisors (2509140600).

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

1057244040 is a wasteful number, since it uses less digits than its factorization.

1057244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1057244040 is about 32515.2893267152. The cubic root of 1057244040 is about 1018.7284038731.

The spelling of 1057244040 in words is "one billion, fifty-seven million, two hundred forty-four thousand, forty".