257141091140 has 48 divisors (see below), whose sum is σ = 556699917312. Its totient is φ = 99695938176.

The previous prime is 257141091121. The next prime is 257141091149. The reversal of 257141091140 is 41190141752.

It is a super-2 number, since 2×257141091140² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257141091140.

It is not an unprimeable number, because it can be changed into a prime (257141091149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466004 + ... + 855243.

It is an arithmetic number, because the mean of its divisors is an integer number (11597914944).

Almost surely, 2^257141091140 is an apocalyptic number.

257141091140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257141091140 is an abundant number, since it is smaller than the sum of its proper divisors (299558826172).

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

257141091140 is a wasteful number, since it uses less digits than its factorization.

257141091140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321556 (or 1321554 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 257141091140 in words is "two hundred fifty-seven billion, one hundred forty-one million, ninety-one thousand, one hundred forty".