4361416714368 has 256 divisors, whose sum is σ = 14713319174400. Its totient is φ = 1245933453312.

The previous prime is 4361416714357. The next prime is 4361416714439. The reversal of 4361416714368 is 8634176141634.

4361416714368 is a `hidden beast` number, since 4 + 3 + 6 + 141 + 67 + 1 + 436 + 8 = 666.

4361416714368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324093496 + ... + 324106952.

It is an arithmetic number, because the mean of its divisors is an integer number (57473903025).

Almost surely, 2^{4361416714368} is an apocalyptic number.

4361416714368 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 4361416714368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7356659587200).

4361416714368 is an abundant number, since it is smaller than the sum of its proper divisors (10351902460032).

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

4361416714368 is a wasteful number, since it uses less digits than its factorization.

4361416714368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26884 (or 26866 counting only the distinct ones).

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

The spelling of 4361416714368 in words is "four trillion, three hundred sixty-one billion, four hundred sixteen million, seven hundred fourteen thousand, three hundred sixty-eight".