1044132314401 has 24 divisors (see below), whose sum is σ = 1161279959112. Its totient is φ = 938015232000.

The previous prime is 1044132314383. The next prime is 1044132314431.

1044132314401 is nontrivially palindromic in base 10.

1044132314401 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 4 ways, for example, as 109045248400 + 935087066001 = 330220^2 + 966999^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1044132314401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1044132314401.

It is not an unprimeable number, because it can be changed into a prime (1044132314431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4494501 + ... + 4721101.

It is an arithmetic number, because the mean of its divisors is an integer number (48386664963).

Almost surely, 2^{1044132314401} is an apocalyptic number.

1044132314401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1044132314401 is a deficient number, since it is larger than the sum of its proper divisors (117147644711).

1044132314401 is a wasteful number, since it uses less digits than its factorization.

1044132314401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227073 (or 227062 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 1044132314401 in words is "one trillion, forty-four billion, one hundred thirty-two million, three hundred fourteen thousand, four hundred one".