4404480404400 has 360 divisors, whose sum is σ = 15409820065536. Its totient is φ = 1164943296000.

The previous prime is 4404480404399. The next prime is 4404480404449. The reversal of 4404480404400 is 44040844044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×4404480404400³ (a number of 39 digits) contains 333 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 371272869 + ... + 371284731.

Almost surely, 2^{4404480404400} is an apocalyptic number.

4404480404400 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 4404480404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7704910032768).

4404480404400 is an abundant number, since it is smaller than the sum of its proper divisors (11005339661136).

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

4404480404400 is a wasteful number, since it uses less digits than its factorization.

4404480404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12721 (or 12707 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 4404480404400 in words is "four trillion, four hundred four billion, four hundred eighty million, four hundred four thousand, four hundred".