10424255242401 has 96 divisors (see below), whose sum is σ = 20763136412928. Its totient is φ = 4863545233920.

The previous prime is 10424255242397. The next prime is 10424255242411.

10424255242401 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 4 + 2 + 5 + 5 + 242 + 401 = 666.

10424255242401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10424255242401 - 2² = 10424255242397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10424255242411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15303066 + ... + 15969731.

It is an arithmetic number, because the mean of its divisors is an integer number (216282670968).

Almost surely, 2^{10424255242401} is an apocalyptic number.

10424255242401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10424255242401 is a deficient number, since it is larger than the sum of its proper divisors (10338881170527).

10424255242401 is a wasteful number, since it uses less digits than its factorization.

10424255242401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31272871 (or 31272868 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 1042425 and 5242401, that added together give a palindrome (6284826).

The spelling of 10424255242401 in words is "ten trillion, four hundred twenty-four billion, two hundred fifty-five million, two hundred forty-two thousand, four hundred one".