10257144426424 has 64 divisors (see below), whose sum is σ = 21993930129600. Its totient is φ = 4393053118464.

The previous prime is 10257144426413. The next prime is 10257144426439. The reversal of 10257144426424 is 42462444175201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 681394482 + ... + 681409534.

It is an arithmetic number, because the mean of its divisors is an integer number (343655158275).

Almost surely, 2^{10257144426424} is an apocalyptic number.

10257144426424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10257144426424 is an abundant number, since it is smaller than the sum of its proper divisors (11736785703176).

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

10257144426424 is a wasteful number, since it uses less digits than its factorization.

10257144426424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22192 (or 22188 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 46.

The spelling of 10257144426424 in words is "ten trillion, two hundred fifty-seven billion, one hundred forty-four million, four hundred twenty-six thousand, four hundred twenty-four".