1306944802944 has 640 divisors, whose sum is σ = 4587343675200. Its totient is φ = 365036544000.

The previous prime is 1306944802927. The next prime is 1306944802949. The reversal of 1306944802944 is 4492084496031.

1306944802944 is a `hidden beast` number, since 1 + 30 + 6 + 94 + 480 + 2 + 9 + 44 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1306944802949) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80167594 + ... + 80183894.

Almost surely, 2^{1306944802944} 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 1306944802944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293671837600).

1306944802944 is an abundant number, since it is smaller than the sum of its proper divisors (3280398872256).

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

1306944802944 is a wasteful number, since it uses less digits than its factorization.

1306944802944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16394 (or 16373 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1306944802944 in words is "one trillion, three hundred six billion, nine hundred forty-four million, eight hundred two thousand, nine hundred forty-four".