4420420480 has 128 divisors (see below), whose sum is σ = 12305753280. Its totient is φ = 1486897152.

The previous prime is 4420420447. The next prime is 4420420489. The reversal of 4420420480 is 840240244.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4420420489) by changing a digit.

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, 228132 + ... + 246748.

Almost surely, 2^4420420480 is an apocalyptic number.

4420420480 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 4420420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152876640).

4420420480 is an abundant number, since it is smaller than the sum of its proper divisors (7885332800).

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

4420420480 is a wasteful number, since it uses less digits than its factorization.

4420420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18696 (or 18684 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 4420420480 is about 66486.2427875121. The cubic root of 4420420480 is about 1641.1736195791.

The spelling of 4420420480 in words is "four billion, four hundred twenty million, four hundred twenty thousand, four hundred eighty".