1441007315316 has 96 divisors (see below), whose sum is σ = 3754758389760. Its totient is φ = 477918252000.

The previous prime is 1441007315303. The next prime is 1441007315353. The reversal of 1441007315316 is 6135137001441.

1441007315316 is a `hidden beast` number, since 1 + 44 + 10 + 0 + 73 + 1 + 531 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101422285 + ... + 101436491.

It is an arithmetic number, because the mean of its divisors is an integer number (39112066560).

Almost surely, 2^{1441007315316} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441007315316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877379194880).

1441007315316 is an abundant number, since it is smaller than the sum of its proper divisors (2313751074444).

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

1441007315316 is a wasteful number, since it uses less digits than its factorization.

1441007315316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18882 (or 18874 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1441007315316 in words is "one trillion, four hundred forty-one billion, seven million, three hundred fifteen thousand, three hundred sixteen".