4399904966400 has 1944 divisors, whose sum is σ = 18269364217104. Its totient is φ = 1043900006400.

The previous prime is 4399904966399. The next prime is 4399904966423. The reversal of 4399904966400 is 46694099934.

4399904966400 is a `hidden beast` number, since 43 + 9 + 9 + 90 + 49 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9544262170 + ... + 9544262630.

Almost surely, 2^{4399904966400} is an apocalyptic number.

4399904966400 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 4399904966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9134682108552).

4399904966400 is an abundant number, since it is smaller than the sum of its proper divisors (13869459250704).

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

4399904966400 is a wasteful number, since it uses less digits than its factorization.

4399904966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 4399904966400 in words is "four trillion, three hundred ninety-nine billion, nine hundred four million, nine hundred sixty-six thousand, four hundred".