10364640442200 has 144 divisors (see below), whose sum is σ = 37972273692600. Its totient is φ = 2512640102400.

The previous prime is 10364640442193. The next prime is 10364640442213. The reversal of 10364640442200 is 224404646301.

10364640442200 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 4 + 6 + 4 + 0 + 442 + 200 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 261713545 + ... + 261753144.

Almost surely, 2^{10364640442200} is an apocalyptic number.

10364640442200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10364640442200 is an abundant number, since it is smaller than the sum of its proper divisors (27607633250400).

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

10364640442200 is a wasteful number, since it uses less digits than its factorization.

10364640442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523466722 (or 523466710 counting only the distinct ones).

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

The spelling of 10364640442200 in words is "ten trillion, three hundred sixty-four billion, six hundred forty million, four hundred forty-two thousand, two hundred".