257144865815040 has 320 divisors, whose sum is σ = 939538194921216. Its totient is φ = 58773400584192.

The previous prime is 257144865815039. The next prime is 257144865815051. The reversal of 257144865815040 is 40518568441752.

257144865815040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×257144865815040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1405893834 + ... + 1406076726.

Almost surely, 2^{257144865815040} is an apocalyptic number.

257144865815040 is a gapful number since it is divisible by the number (20) 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 257144865815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469769097460608).

257144865815040 is an abundant number, since it is smaller than the sum of its proper divisors (682393329106176).

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

257144865815040 is a wasteful number, since it uses less digits than its factorization.

257144865815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209079 (or 209063 counting only the distinct ones).

The product of its (nonzero) digits is 43008000, while the sum is 60.

The spelling of 257144865815040 in words is "two hundred fifty-seven trillion, one hundred forty-four billion, eight hundred sixty-five million, eight hundred fifteen thousand, forty".