4381356834720 has 336 divisors, whose sum is σ = 15693745583880. Its totient is φ = 1155231424512.

The previous prime is 4381356834707. The next prime is 4381356834737. The reversal of 4381356834720 is 274386531834.

It is a happy number.

4381356834720 is a `hidden beast` number, since 4 + 3 + 8 + 1 + 3 + 568 + 3 + 4 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1558432650384 + 2822924184336 = 1248372^2 + 1680156^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10169932 + ... + 10591988.

Almost surely, 2^{4381356834720} is an apocalyptic number.

4381356834720 is a gapful number since it is divisible by the number (40) 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 4381356834720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7846872791940).

4381356834720 is an abundant number, since it is smaller than the sum of its proper divisors (11312388749160).

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

4381356834720 is an equidigital number, since it uses as much as digits as its factorization.

4381356834720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422179 (or 422156 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4381356834720 in words is "four trillion, three hundred eighty-one billion, three hundred fifty-six million, eight hundred thirty-four thousand, seven hundred twenty".