4399806468096 has 312 divisors, whose sum is σ = 13827861083400. Its totient is φ = 1339815886848.

The previous prime is 4399806468067. The next prime is 4399806468103. The reversal of 4399806468096 is 6908646089934.

It can be written as a sum of positive squares in 4 ways, for example, as 1009494429696 + 3390312038400 = 1004736^2 + 1841280^2 .

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46438180 + ... + 46532828.

It is an arithmetic number, because the mean of its divisors is an integer number (44320067575).

Almost surely, 2^{4399806468096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4399806468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6913930541700).

4399806468096 is an abundant number, since it is smaller than the sum of its proper divisors (9428054615304).

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

4399806468096 is a wasteful number, since it uses less digits than its factorization.

4399806468096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94789 (or 94764 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 4399806468096 in words is "four trillion, three hundred ninety-nine billion, eight hundred six million, four hundred sixty-eight thousand, ninety-six".