8380310440320 has 2304 divisors, whose sum is σ = 38904715886400. Its totient is φ = 1706597351424.

The previous prime is 8380310440273. The next prime is 8380310440351. The reversal of 8380310440320 is 230440130838.

It is a happy number.

8380310440320 is a `hidden beast` number, since 83 + 80 + 31 + 0 + 440 + 32 + 0 = 666.

It is a super-2 number, since 2×8380310440320² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2872919502 + ... + 2872922418.

Almost surely, 2^{8380310440320} is an apocalyptic number.

8380310440320 is a gapful number since it is divisible by the number (80) 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 8380310440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19452357943200).

8380310440320 is an abundant number, since it is smaller than the sum of its proper divisors (30524405446080).

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

8380310440320 is a wasteful number, since it uses less digits than its factorization.

8380310440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 8380310440320 in words is "eight trillion, three hundred eighty billion, three hundred ten million, four hundred forty thousand, three hundred twenty".