257857414813440 has 1440 divisors, whose sum is σ = 1052759472944256. Its totient is φ = 59700569702400.

The previous prime is 257857414813417. The next prime is 257857414813463. The reversal of 257857414813440 is 44318414758752.

257857414813440 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 574 + 1 + 4 + 8 + 13 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (257857414813417) and next prime (257857414813463).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-4 number, since 4×257857414813440⁴ (a number of 59 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52081882965 + ... + 52081887915.

Almost surely, 2^{257857414813440} is an apocalyptic number.

257857414813440 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 257857414813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526379736472128).

257857414813440 is an abundant number, since it is smaller than the sum of its proper divisors (794902058130816).

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

257857414813440 is a wasteful number, since it uses less digits than its factorization.

257857414813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 63.

The spelling of 257857414813440 in words is "two hundred fifty-seven trillion, eight hundred fifty-seven billion, four hundred fourteen million, eight hundred thirteen thousand, four hundred forty".