10442077269700 has 18 divisors (see below), whose sum is σ = 22659307675466. Its totient is φ = 4176830907840.

The previous prime is 10442077269661. The next prime is 10442077269703. The reversal of 10442077269700 is 796277024401.

It can be written as a sum of positive squares in 3 ways, for example, as 23952514756 + 10418124754944 = 154766^2 + 3227712^2 .

It is not an unprimeable number, because it can be changed into a prime (10442077269703) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52210386249 + ... + 52210386448.

Almost surely, 2^{10442077269700} is an apocalyptic number.

10442077269700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10442077269700 is an abundant number, since it is smaller than the sum of its proper divisors (12217230405766).

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

10442077269700 is a wasteful number, since it uses less digits than its factorization.

10442077269700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104420772711 (or 104420772704 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 49.

The spelling of 10442077269700 in words is "ten trillion, four hundred forty-two billion, seventy-seven million, two hundred sixty-nine thousand, seven hundred".