1371312866880 has 1120 divisors, whose sum is σ = 5625236643840. Its totient is φ = 313841848320.

The previous prime is 1371312866783. The next prime is 1371312866887. The reversal of 1371312866880 is 886682131731.

It is a happy number.

It is a super-4 number, since 4×1371312866880⁴ (a number of 50 digits) contains 4444 as substring.

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 (1371312866887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 518061717 + ... + 518064363.

Almost surely, 2^{1371312866880} is an apocalyptic number.

1371312866880 is a gapful number since it is divisible by the number (10) 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 1371312866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812618321920).

1371312866880 is an abundant number, since it is smaller than the sum of its proper divisors (4253923776960).

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

1371312866880 is a wasteful number, since it uses less digits than its factorization.

1371312866880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1371312866880 in words is "one trillion, three hundred seventy-one billion, three hundred twelve million, eight hundred sixty-six thousand, eight hundred eighty".