10203364644640 has 48 divisors (see below), whose sum is σ = 24936671362680. Its totient is φ = 3940609792000.

The previous prime is 10203364644559. The next prime is 10203364644653. The reversal of 10203364644640 is 4644646330201.

It can be written as a sum of positive squares in 4 ways, for example, as 7304068380816 + 2899296263824 = 2702604^2 + 1702732^2 .

It is a super-4 number, since 4×10203364644640⁴ (a number of 53 digits) contains 4444 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1099495861 + ... + 1099505140.

Almost surely, 2^{10203364644640} is an apocalyptic number.

10203364644640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10203364644640 is an abundant number, since it is smaller than the sum of its proper divisors (14733306718040).

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

10203364644640 is a wasteful number, since it uses less digits than its factorization.

10203364644640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199001045 (or 2199001037 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 43.

The spelling of 10203364644640 in words is "ten trillion, two hundred three billion, three hundred sixty-four million, six hundred forty-four thousand, six hundred forty".