4344666968320 has 288 divisors, whose sum is σ = 12462704271360. Its totient is φ = 1418857144320.

The previous prime is 4344666968273. The next prime is 4344666968359. The reversal of 4344666968320 is 238696664434.

It is a super-2 number, since 2×4344666968320² (a number of 26 digits) contains 22 as substring.

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, 49209015 + ... + 49297225.

It is an arithmetic number, because the mean of its divisors is an integer number (43273278720).

Almost surely, 2^{4344666968320} is an apocalyptic number.

4344666968320 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 4344666968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6231352135680).

4344666968320 is an abundant number, since it is smaller than the sum of its proper divisors (8118037303040).

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

4344666968320 is a wasteful number, since it uses less digits than its factorization.

4344666968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88501 (or 88487 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 61.

The spelling of 4344666968320 in words is "four trillion, three hundred forty-four billion, six hundred sixty-six million, nine hundred sixty-eight thousand, three hundred twenty".