1057615440 has 320 divisors, whose sum is σ = 3963174912. Its totient is φ = 228096000.

The previous prime is 1057615409. The next prime is 1057615453. The reversal of 1057615440 is 445167501.

It is a Cunningham number, because it is equal to 32521²-1.

It is a super-2 number, since 2×1057615440² = 2237100837852787200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3902505 + ... + 3902775.

Almost surely, 2^1057615440 is an apocalyptic number.

1057615440 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 1057615440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981587456).

1057615440 is an abundant number, since it is smaller than the sum of its proper divisors (2905559472).

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

1057615440 is a wasteful number, since it uses less digits than its factorization.

1057615440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 1057615440 is about 32520.9999846253. Note that the first 4 decimals coincide. The cubic root of 1057615440 is about 1018.8476798457.

The spelling of 1057615440 in words is "one billion, fifty-seven million, six hundred fifteen thousand, four hundred forty".