10344400444301 has 48 divisors (see below), whose sum is σ = 13448699490240. Its totient is φ = 7863208416000.

The previous prime is 10344400444297. The next prime is 10344400444307.

10344400444301 is nontrivially palindromic in base 10.

10344400444301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10344400444301 - 2² = 10344400444297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344400444307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347801291 + ... + 347831031.

It is an arithmetic number, because the mean of its divisors is an integer number (280181239380).

Almost surely, 2^{10344400444301} is an apocalyptic number.

10344400444301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10344400444301 is a deficient number, since it is larger than the sum of its proper divisors (3104299045939).

10344400444301 is a wasteful number, since it uses less digits than its factorization.

10344400444301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45546 (or 45539 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 10344400 and 444301, that added together give a palindrome (10788701).

The spelling of 10344400444301 in words is "ten trillion, three hundred forty-four billion, four hundred million, four hundred forty-four thousand, three hundred one".