1380931168320 has 1008 divisors, whose sum is σ = 5442111365184. Its totient is φ = 318665318400.

The previous prime is 1380931168307. The next prime is 1380931168403. The reversal of 1380931168320 is 238611390831.

1380931168320 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 9 + 311 + 6 + 8 + 320 = 666.

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

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, 2039779822 + ... + 2039780498.

Almost surely, 2^{1380931168320} is an apocalyptic number.

1380931168320 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 1380931168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721055682592).

1380931168320 is an abundant number, since it is smaller than the sum of its proper divisors (4061180196864).

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

1380931168320 is a wasteful number, since it uses less digits than its factorization.

1380931168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1380931168320 in words is "one trillion, three hundred eighty billion, nine hundred thirty-one million, one hundred sixty-eight thousand, three hundred twenty".