4399696966104 has 576 divisors, whose sum is σ = 14194529856000. Its totient is φ = 1217525644800.

The previous prime is 4399696965991. The next prime is 4399696966193. The reversal of 4399696966104 is 4016696969934.

4399696966104 is a `hidden beast` number, since 4 + 399 + 6 + 96 + 96 + 61 + 0 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5307233562 + ... + 5307234390.

It is an arithmetic number, because the mean of its divisors is an integer number (24643281000).

Almost surely, 2^{4399696966104} is an apocalyptic number.

4399696966104 is a gapful number since it is divisible by the number (44) 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 4399696966104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097264928000).

4399696966104 is an abundant number, since it is smaller than the sum of its proper divisors (9794832889896).

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

4399696966104 is a wasteful number, since it uses less digits than its factorization.

4399696966104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 408146688, while the sum is 72.

The spelling of 4399696966104 in words is "four trillion, three hundred ninety-nine billion, six hundred ninety-six million, nine hundred sixty-six thousand, one hundred four".