1144455440004 has 36 divisors (see below), whose sum is σ = 2947512600396. Its totient is φ = 374287313088.

The previous prime is 1144455439987. The next prime is 1144455440021. The reversal of 1144455440004 is 4000445544411.

It is an interprime number because it is at equal distance from previous prime (1144455439987) and next prime (1144455440021).

It can be written as a sum of positive squares in 2 ways, for example, as 622663028100 + 521792411904 = 789090^2 + 722352^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299907799 + ... + 299911614.

It is an arithmetic number, because the mean of its divisors is an integer number (81875350011).

Almost surely, 2^{1144455440004} is an apocalyptic number.

It is an amenable number.

1144455440004 is an abundant number, since it is smaller than the sum of its proper divisors (1803057160392).

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

1144455440004 is a wasteful number, since it uses less digits than its factorization.

1144455440004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599819476 (or 599819471 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 1144455440004 in words is "one trillion, one hundred forty-four billion, four hundred fifty-five million, four hundred forty thousand, four".