257355400240 has 160 divisors (see below), whose sum is σ = 610070452992. Its totient is φ = 100953216000.

The previous prime is 257355400231. The next prime is 257355400241. The reversal of 257355400240 is 42004553752.

It is a self number, because there is not a number n which added to its sum of digits gives 257355400240.

It is not an unprimeable number, because it can be changed into a prime (257355400241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400241359 + ... + 400242001.

Almost surely, 2^257355400240 is an apocalyptic number.

257355400240 is a gapful number since it is divisible by the number (20) 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 257355400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305035226496).

257355400240 is an abundant number, since it is smaller than the sum of its proper divisors (352715052752).

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

257355400240 is a wasteful number, since it uses less digits than its factorization.

257355400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 37.

Adding to 257355400240 its reverse (42004553752), we get a palindrome (299359953992).

The spelling of 257355400240 in words is "two hundred fifty-seven billion, three hundred fifty-five million, four hundred thousand, two hundred forty".