10344042330400 has 36 divisors (see below), whose sum is σ = 25252393341042. Its totient is φ = 4137616931840.

The previous prime is 10344042330383. The next prime is 10344042330439. The reversal of 10344042330400 is 403324044301.

10344042330400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4010102370576 + 6333939959824 = 2002524^2 + 2516732^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6465025657 + ... + 6465027256.

Almost surely, 2^{10344042330400} is an apocalyptic number.

10344042330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344042330400 is an abundant number, since it is smaller than the sum of its proper divisors (14908351010642).

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

10344042330400 is a wasteful number, since it uses less digits than its factorization.

10344042330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12930052933 (or 12930052920 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 10344042330400 its reverse (403324044301), we get a palindrome (10747366374701).

The spelling of 10344042330400 in words is "ten trillion, three hundred forty-four billion, forty-two million, three hundred thirty thousand, four hundred".