257201454476420 has 12 divisors (see below), whose sum is σ = 540123054400524. Its totient is φ = 102880581790560.

The previous prime is 257201454476399. The next prime is 257201454476423. The reversal of 257201454476420 is 24674454102752.

It can be written as a sum of positive squares in 2 ways, for example, as 126659358524416 + 130542095952004 = 11254304^2 + 11425502^2 .

It is not an unprimeable number, because it can be changed into a prime (257201454476423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6430036361891 + ... + 6430036361930.

It is an arithmetic number, because the mean of its divisors is an integer number (45010254533377).

Almost surely, 2^{257201454476420} is an apocalyptic number.

257201454476420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257201454476420 is an abundant number, since it is smaller than the sum of its proper divisors (282921599924104).

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

257201454476420 is a wasteful number, since it uses less digits than its factorization.

257201454476420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12860072723830 (or 12860072723828 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 53.

The spelling of 257201454476420 in words is "two hundred fifty-seven trillion, two hundred one billion, four hundred fifty-four million, four hundred seventy-six thousand, four hundred twenty".