257984040984 has 72 divisors (see below), whose sum is σ = 649463961780. Its totient is φ = 85398318720.

The previous prime is 257984040973. The next prime is 257984040997. The reversal of 257984040984 is 489040489752.

257984040984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 495170644 + ... + 495171164.

Almost surely, 2^257984040984 is an apocalyptic number.

257984040984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257984040984 is an abundant number, since it is smaller than the sum of its proper divisors (391479920796).

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

257984040984 is an frugal number, since it uses more digits than its factorization.

257984040984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 257984040984 in words is "two hundred fifty-seven billion, nine hundred eighty-four million, forty thousand, nine hundred eighty-four".