257455112657440 has 24 divisors (see below), whose sum is σ = 608237703653580. Its totient is φ = 102982045062912.

The previous prime is 257455112657423. The next prime is 257455112657447. The reversal of 257455112657440 is 44756211554752.

It can be written as a sum of positive squares in 2 ways, for example, as 220207673644816 + 37247439012624 = 14839396^2 + 6103068^2 .

It is not an unprimeable number, because it can be changed into a prime (257455112657447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 804547226895 + ... + 804547227214.

Almost surely, 2^{257455112657440} is an apocalyptic number.

257455112657440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257455112657440 is an abundant number, since it is smaller than the sum of its proper divisors (350782590996140).

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

257455112657440 is a wasteful number, since it uses less digits than its factorization.

257455112657440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609094454124 (or 1609094454116 counting only the distinct ones).

The product of its (nonzero) digits is 47040000, while the sum is 58.

The spelling of 257455112657440 in words is "two hundred fifty-seven trillion, four hundred fifty-five billion, one hundred twelve million, six hundred fifty-seven thousand, four hundred forty".