257418438240 has 48 divisors (see below), whose sum is σ = 810868081968. Its totient is φ = 68644916736.

The previous prime is 257418438239. The next prime is 257418438247. The reversal of 257418438240 is 42834814752.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 257418438240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257418438247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268143727 + ... + 268144686.

It is an arithmetic number, because the mean of its divisors is an integer number (16893085041).

Almost surely, 2^257418438240 is an apocalyptic number.

257418438240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257418438240 is an abundant number, since it is smaller than the sum of its proper divisors (553449643728).

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

257418438240 is a wasteful number, since it uses less digits than its factorization.

257418438240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536288431 (or 536288423 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 257418438240 in words is "two hundred fifty-seven billion, four hundred eighteen million, four hundred thirty-eight thousand, two hundred forty".