10240645505301 has 32 divisors (see below), whose sum is σ = 15398419000320. Its totient is φ = 6724914123312.

The previous prime is 10240645505297. The next prime is 10240645505323. The reversal of 10240645505301 is 10350554604201.

10240645505301 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 645 + 5 + 0 + 5 + 3 + 0 + 1 = 666.

It is not a de Polignac number, because 10240645505301 - 2² = 10240645505297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240645500301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47692086 + ... + 47906328.

It is an arithmetic number, because the mean of its divisors is an integer number (481200593760).

Almost surely, 2^{10240645505301} is an apocalyptic number.

It is an amenable number.

10240645505301 is a deficient number, since it is larger than the sum of its proper divisors (5157773495019).

10240645505301 is a wasteful number, since it uses less digits than its factorization.

10240645505301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240742 (or 240736 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 10240645505301 in words is "ten trillion, two hundred forty billion, six hundred forty-five million, five hundred five thousand, three hundred one".