1310051441664 has 264 divisors, whose sum is σ = 4387676179328. Its totient is φ = 368712622080.

The previous prime is 1310051441641. The next prime is 1310051441759. The reversal of 1310051441664 is 4661441500131.

1310051441664 is a `hidden beast` number, since 1 + 3 + 100 + 51 + 441 + 6 + 64 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4170759 + ... + 4473849.

Almost surely, 2^{1310051441664} is an apocalyptic number.

1310051441664 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 1310051441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193838089664).

1310051441664 is an abundant number, since it is smaller than the sum of its proper divisors (3077624737664).

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

1310051441664 is a wasteful number, since it uses less digits than its factorization.

1310051441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303191 (or 303170 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 1310051441664 its reverse (4661441500131), we get a palindrome (5971492941795).

The spelling of 1310051441664 in words is "one trillion, three hundred ten billion, fifty-one million, four hundred forty-one thousand, six hundred sixty-four".