257141832144 has 80 divisors (see below), whose sum is σ = 679943480832. Its totient is φ = 83694489984.

The previous prime is 257141832133. The next prime is 257141832161. The reversal of 257141832144 is 441238141752.

It is a super-2 number, since 2×257141832144² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257141832096 and 257141832105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7262067 + ... + 7297389.

Almost surely, 2^257141832144 is an apocalyptic number.

257141832144 is a gapful number since it is divisible by the number (24) 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 257141832144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339971740416).

257141832144 is an abundant number, since it is smaller than the sum of its proper divisors (422801648688).

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

257141832144 is a wasteful number, since it uses less digits than its factorization.

257141832144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38904 (or 38898 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

Adding to 257141832144 its reverse (441238141752), we get a palindrome (698379973896).

The spelling of 257141832144 in words is "two hundred fifty-seven billion, one hundred forty-one million, eight hundred thirty-two thousand, one hundred forty-four".