1057014144 has 64 divisors (see below), whose sum is σ = 3119670000. Its totient is φ = 352336896.

The previous prime is 1057014121. The next prime is 1057014149. The reversal of 1057014144 is 4414107501.

1057014144 is a `hidden beast` number, since 10 + 570 + 1 + 41 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1057014144² = 2234557801232105472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057014149) 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, 149469 + ... + 156380.

Almost surely, 2^1057014144 is an apocalyptic number.

It is an amenable number.

1057014144 is an abundant number, since it is smaller than the sum of its proper divisors (2062655856).

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

1057014144 is an equidigital number, since it uses as much as digits as its factorization.

1057014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305872 (or 305854 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1057014144 is about 32511.7539360767. The cubic root of 1057014144 is about 1018.6545582411.

The spelling of 1057014144 in words is "one billion, fifty-seven million, fourteen thousand, one hundred forty-four".