4409303040 has 336 divisors, whose sum is σ = 15886529568. Its totient is φ = 1173159936.

The previous prime is 4409303029. The next prime is 4409303047. The reversal of 4409303040 is 403039044.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4409302995 and 4409303013.

It is not an unprimeable number, because it can be changed into a prime (4409303047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9953059 + ... + 9953501.

It is an arithmetic number, because the mean of its divisors is an integer number (47281338).

Almost surely, 2^4409303040 is an apocalyptic number.

4409303040 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 4409303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7943264784).

4409303040 is an abundant number, since it is smaller than the sum of its proper divisors (11477226528).

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

4409303040 is an frugal number, since it uses more digits than its factorization.

4409303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4409303040 is about 66402.5830822868. The cubic root of 4409303040 is about 1639.7966037661.

The spelling of 4409303040 in words is "four billion, four hundred nine million, three hundred three thousand, forty".