1313762042880 has 1584 divisors, whose sum is σ = 5585029821696. Its totient is φ = 290237644800.

The previous prime is 1313762042797. The next prime is 1313762042927. The reversal of 1313762042880 is 882402673131.

1313762042880 is a `hidden beast` number, since 1 + 3 + 13 + 7 + 620 + 4 + 2 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8700410805 + ... + 8700410955.

Almost surely, 2^{1313762042880} is an apocalyptic number.

1313762042880 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 1313762042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792514910848).

1313762042880 is an abundant number, since it is smaller than the sum of its proper divisors (4271267778816).

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

1313762042880 is an frugal number, since it uses more digits than its factorization.

1313762042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1313762042880 in words is "one trillion, three hundred thirteen billion, seven hundred sixty-two million, forty-two thousand, eight hundred eighty".