10206440346024 has 64 divisors (see below), whose sum is σ = 30532086513600. Its totient is φ = 3140443182528.

The previous prime is 10206440346007. The next prime is 10206440346029. The reversal of 10206440346024 is 42064304460201.

10206440346024 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 4 + 40 + 3 + 4 + 602 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10206440346024.

It is not an unprimeable number, because it can be changed into a prime (10206440346029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1817383294 + ... + 1817388909.

It is an arithmetic number, because the mean of its divisors is an integer number (477063851775).

Almost surely, 2^{10206440346024} is an apocalyptic number.

It is an amenable number.

10206440346024 is an abundant number, since it is smaller than the sum of its proper divisors (20325646167576).

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

10206440346024 is a wasteful number, since it uses less digits than its factorization.

10206440346024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634772231 (or 3634772221 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 10206440346024 in words is "ten trillion, two hundred six billion, four hundred forty million, three hundred forty-six thousand, twenty-four".