257810961408 has 1408 divisors, whose sum is σ = 990420480000. Its totient is φ = 58669793280.

The previous prime is 257810961403. The next prime is 257810961523. The reversal of 257810961408 is 804169018752.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257810961403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4369677283 + ... + 4369677341.

Almost surely, 2^257810961408 is an apocalyptic number.

257810961408 is a gapful number since it is divisible by the number (28) 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 257810961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495210240000).

257810961408 is an abundant number, since it is smaller than the sum of its proper divisors (732609518592).

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

257810961408 is a wasteful number, since it uses less digits than its factorization.

257810961408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 257810961408 in words is "two hundred fifty-seven billion, eight hundred ten million, nine hundred sixty-one thousand, four hundred eight".