4404485030400 has 4320 divisors, whose sum is σ = 21700368676800. Its totient is φ = 880387522560.

The previous prime is 4404485030389. The next prime is 4404485030417. The reversal of 4404485030400 is 40305844044.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 231815001591 + ... + 231815001609.

It is an arithmetic number, because the mean of its divisors is an integer number (5023233490).

Almost surely, 2^{4404485030400} is an apocalyptic number.

4404485030400 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 4404485030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10850184338400).

4404485030400 is an abundant number, since it is smaller than the sum of its proper divisors (17295883646400).

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

4404485030400 is an equidigital number, since it uses as much as digits as its factorization.

4404485030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 4404485030400 in words is "four trillion, four hundred four billion, four hundred eighty-five million, thirty thousand, four hundred".