1441713276864 has 588 divisors, whose sum is σ = 5016351918000. Its totient is φ = 409718808576.

The previous prime is 1441713276859. The next prime is 1441713276877. The reversal of 1441713276864 is 4686723171441.

1441713276864 is a `hidden beast` number, since 1 + 441 + 7 + 132 + 7 + 6 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1441713276864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 454941072 + ... + 454944240.

Almost surely, 2^{1441713276864} is an apocalyptic number.

1441713276864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441713276864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508175959000).

1441713276864 is an abundant number, since it is smaller than the sum of its proper divisors (3574638641136).

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

1441713276864 is an equidigital number, since it uses as much as digits as its factorization.

1441713276864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3380 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 1441713276864 in words is "one trillion, four hundred forty-one billion, seven hundred thirteen million, two hundred seventy-six thousand, eight hundred sixty-four".