4418047920 has 640 divisors, whose sum is σ = 17458882560. Its totient is φ = 908328960.

The previous prime is 4418047913. The next prime is 4418047969. The reversal of 4418047920 is 297408144.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22891344 + ... + 22891536.

It is an arithmetic number, because the mean of its divisors is an integer number (27279504).

Almost surely, 2^4418047920 is an apocalyptic number.

4418047920 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 4418047920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8729441280).

4418047920 is an abundant number, since it is smaller than the sum of its proper divisors (13040834640).

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

4418047920 is a wasteful number, since it uses less digits than its factorization.

4418047920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 4418047920 is about 66468.3979045682. The cubic root of 4418047920 is about 1640.8799461799.

The spelling of 4418047920 in words is "four billion, four hundred eighteen million, forty-seven thousand, nine hundred twenty".