257341389349920 has 192 divisors, whose sum is σ = 836789165614080. Its totient is φ = 66409523712000.

The previous prime is 257341389349903. The next prime is 257341389349927. The reversal of 257341389349920 is 29943983143752.

It is a super-4 number, since 4×257341389349920⁴ (a number of 59 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (257341389349927) 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 31 ways as a sum of consecutive naturals, for example, 1147150726 + ... + 1147375034.

It is an arithmetic number, because the mean of its divisors is an integer number (4358276904240).

Almost surely, 2^{257341389349920} is an apocalyptic number.

257341389349920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257341389349920 is an abundant number, since it is smaller than the sum of its proper divisors (579447776264160).

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

257341389349920 is a wasteful number, since it uses less digits than its factorization.

257341389349920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301459 (or 301451 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 69.

The spelling of 257341389349920 in words is "two hundred fifty-seven trillion, three hundred forty-one billion, three hundred eighty-nine million, three hundred forty-nine thousand, nine hundred twenty".