257364121140 has 144 divisors (see below), whose sum is σ = 939153371520. Its totient is φ = 55729969920.

The previous prime is 257364121087. The next prime is 257364121141. The reversal of 257364121140 is 41121463752.

257364121140 is a `hidden beast` number, since 2 + 5 + 7 + 3 + 641 + 2 + 1 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 257364121095 and 257364121104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257364121141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5351251 + ... + 5399130.

Almost surely, 2^257364121140 is an apocalyptic number.

257364121140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257364121140 is an abundant number, since it is smaller than the sum of its proper divisors (681789250380).

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

257364121140 is a wasteful number, since it uses less digits than its factorization.

257364121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10750422 (or 10750417 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 257364121140 its reverse (41121463752), we get a palindrome (298485584892).

The spelling of 257364121140 in words is "two hundred fifty-seven billion, three hundred sixty-four million, one hundred twenty-one thousand, one hundred forty".