4380940320768 has 360 divisors, whose sum is σ = 13899604118400. Its totient is φ = 1318575144960.

The previous prime is 4380940320767. The next prime is 4380940320769. The reversal of 4380940320768 is 8670230490834.

It is an interprime number because it is at equal distance from previous prime (4380940320767) and next prime (4380940320769).

It is not an unprimeable number, because it can be changed into a prime (4380940320767) by changing a digit.

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, 241671321 + ... + 241689447.

It is an arithmetic number, because the mean of its divisors is an integer number (38610011440).

Almost surely, 2^{4380940320768} is an apocalyptic number.

4380940320768 is a gapful number since it is divisible by the number (48) 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 4380940320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949802059200).

4380940320768 is an abundant number, since it is smaller than the sum of its proper divisors (9518663797632).

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

4380940320768 is a wasteful number, since it uses less digits than its factorization.

4380940320768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18321 (or 18292 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4380940320768 in words is "four trillion, three hundred eighty billion, nine hundred forty million, three hundred twenty thousand, seven hundred sixty-eight".