257201454476421 has 96 divisors (see below), whose sum is σ = 484068983328000. Its totient is φ = 133755902017920.

The previous prime is 257201454476399. The next prime is 257201454476423. The reversal of 257201454476421 is 124674454102752.

It is a happy number.

257201454476421 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 0 + 1 + 4 + 544 + 76 + 4 + 21 = 666.

It is not a de Polignac number, because 257201454476421 - 2⁶ = 257201454476357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257201454476423) 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 95 ways as a sum of consecutive naturals, for example, 104091846 + ... + 106534103.

It is an arithmetic number, because the mean of its divisors is an integer number (5042385243000).

Almost surely, 2^{257201454476421} is an apocalyptic number.

257201454476421 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

257201454476421 is a deficient number, since it is larger than the sum of its proper divisors (226867528851579).

257201454476421 is a wasteful number, since it uses less digits than its factorization.

257201454476421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210626056 (or 210626043 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 257201454476421 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-one".