4404407440 has 80 divisors (see below), whose sum is σ = 10522201536. Its totient is φ = 1713600000.

The previous prime is 4404407353. The next prime is 4404407453. The reversal of 4404407440 is 447044044.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×4404407440³ (a number of 30 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 860890 + ... + 865990.

Almost surely, 2^4404407440 is an apocalyptic number.

4404407440 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 4404407440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261100768).

4404407440 is an abundant number, since it is smaller than the sum of its proper divisors (6117794096).

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

4404407440 is a wasteful number, since it uses less digits than its factorization.

4404407440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5408 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 31.

The square root of 4404407440 is about 66365.7098206596. The cubic root of 4404407440 is about 1639.1894963942.

The spelling of 4404407440 in words is "four billion, four hundred four million, four hundred seven thousand, four hundred forty".