4399980480000 has 2400 divisors, whose sum is σ = 19965126614400. Its totient is φ = 951035904000.

The previous prime is 4399980479989. The next prime is 4399980480017. The reversal of 4399980480000 is 840899934.

4399980480000 is a `hidden beast` number, since 439 + 99 + 80 + 48 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8043839727 + ... + 8043840273.

It is an arithmetic number, because the mean of its divisors is an integer number (8318802756).

Almost surely, 2^{4399980480000} is an apocalyptic number.

4399980480000 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 4399980480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9982563307200).

4399980480000 is an abundant number, since it is smaller than the sum of its proper divisors (15565146134400).

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

4399980480000 is an equidigital number, since it uses as much as digits as its factorization.

4399980480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 4399980480000 in words is "four trillion, three hundred ninety-nine billion, nine hundred eighty million, four hundred eighty thousand".