1057217440 has 48 divisors (see below), whose sum is σ = 2514274560. Its totient is φ = 420076800.

The previous prime is 1057217429. The next prime is 1057217449. The reversal of 1057217440 is 447127501.

It is a super-2 number, since 2×1057217440² = 2235417430880307200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057217449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2281 + ... + 46039.

It is an arithmetic number, because the mean of its divisors is an integer number (52380720).

Almost surely, 2^1057217440 is an apocalyptic number.

1057217440 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 1057217440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257137280).

1057217440 is an abundant number, since it is smaller than the sum of its proper divisors (1457057120).

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

1057217440 is a wasteful number, since it uses less digits than its factorization.

1057217440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43925 (or 43917 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 1057217440 is about 32514.8802858015. The cubic root of 1057217440 is about 1018.7198601494.

The spelling of 1057217440 in words is "one billion, fifty-seven million, two hundred seventeen thousand, four hundred forty".