4420345440 has 384 divisors, whose sum is σ = 17740477440. Its totient is φ = 900661248.

The previous prime is 4420345403. The next prime is 4420345469. The reversal of 4420345440 is 445430244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4420345398 and 4420345407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1083244 + ... + 1087316.

It is an arithmetic number, because the mean of its divisors is an integer number (46199160).

Almost surely, 2^4420345440 is an apocalyptic number.

4420345440 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 4420345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870238720).

4420345440 is an abundant number, since it is smaller than the sum of its proper divisors (13320132000).

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

4420345440 is a wasteful number, since it uses less digits than its factorization.

4420345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 4420345440 is about 66485.6784578453. The cubic root of 4420345440 is about 1641.1643328030.

Adding to 4420345440 its reverse (445430244), we get a palindrome (4865775684).

The spelling of 4420345440 in words is "four billion, four hundred twenty million, three hundred forty-five thousand, four hundred forty".