10241115026544 has 60 divisors (see below), whose sum is σ = 28665965242200. Its totient is φ = 3413101502592.

The previous prime is 10241115026501. The next prime is 10241115026599. The reversal of 10241115026544 is 44562051114201.

10241115026544 is a `hidden beast` number, since 1 + 0 + 2 + 41 + 1 + 1 + 50 + 26 + 544 = 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 = 10241115026499 and 10241115026508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5468799 + ... + 7098590.

It is an arithmetic number, because the mean of its divisors is an integer number (477766087370).

Almost surely, 2^{10241115026544} is an apocalyptic number.

It is an amenable number.

10241115026544 is an abundant number, since it is smaller than the sum of its proper divisors (18424850215656).

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

10241115026544 is a wasteful number, since it uses less digits than its factorization.

10241115026544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12573062 (or 12573053 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 10241115026544 in words is "ten trillion, two hundred forty-one billion, one hundred fifteen million, twenty-six thousand, five hundred forty-four".