257147357040 has 240 divisors, whose sum is σ = 1045012632768. Its totient is φ = 55319076864.

The previous prime is 257147357021. The next prime is 257147357041. The reversal of 257147357040 is 40753741752.

257147357040 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 4 + 73 + 570 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×257147357040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257147357041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1414947 + ... + 1586306.

Almost surely, 2^257147357040 is an apocalyptic number.

257147357040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257147357040 is an abundant number, since it is smaller than the sum of its proper divisors (787865275728).

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

257147357040 is a wasteful number, since it uses less digits than its factorization.

257147357040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001296 (or 3001287 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 257147357040 in words is "two hundred fifty-seven billion, one hundred forty-seven million, three hundred fifty-seven thousand, forty".