1057717440 has 560 divisors, whose sum is σ = 4202935968. Its totient is φ = 250822656.

The previous prime is 1057717433. The next prime is 1057717447. The reversal of 1057717440 is 447177501.

1057717440 is a `hidden beast` number, since 10 + 577 + 1 + 74 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1057717433) and next prime (1057717447).

It is a super-2 number, since 2×1057717440² = 2237532365760307200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1057717395 and 1057717404.

It is not an unprimeable number, because it can be changed into a prime (1057717447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14489244 + ... + 14489316.

Almost surely, 2^1057717440 is an apocalyptic number.

1057717440 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 1057717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101467984).

1057717440 is an abundant number, since it is smaller than the sum of its proper divisors (3145218528).

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

1057717440 is a wasteful number, since it uses less digits than its factorization.

1057717440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 1057717440 is about 32522.5681642763. The cubic root of 1057717440 is about 1018.8804324949.

The spelling of 1057717440 in words is "one billion, fifty-seven million, seven hundred seventeen thousand, four hundred forty".