4404808320000 has 880 divisors, whose sum is σ = 16229459560512. Its totient is φ = 1052835840000.

The previous prime is 4404808319969. The next prime is 4404808320007. The reversal of 4404808320000 is 238084044.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4404808320007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1541758572 + ... + 1541761428.

Almost surely, 2^{4404808320000} is an apocalyptic number.

4404808320000 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 4404808320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8114729780256).

4404808320000 is an abundant number, since it is smaller than the sum of its proper divisors (11824651240512).

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

4404808320000 is a wasteful number, since it uses less digits than its factorization.

4404808320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 4404808320000 in words is "four trillion, four hundred four billion, eight hundred eight million, three hundred twenty thousand".