4418472960 has 528 divisors, whose sum is σ = 17473847040. Its totient is φ = 1021870080.

The previous prime is 4418472959. The next prime is 4418472977. The reversal of 4418472960 is 692748144.

4418472960 is a `hidden beast` number, since 441 + 84 + 72 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11658051 + ... + 11658429.

Almost surely, 2^4418472960 is an apocalyptic number.

4418472960 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 4418472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736923520).

4418472960 is an abundant number, since it is smaller than the sum of its proper divisors (13055374080).

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

4418472960 is a wasteful number, since it uses less digits than its factorization.

4418472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4418472960 is about 66471.5951365694. The cubic root of 4418472960 is about 1640.9325649881.

The spelling of 4418472960 in words is "four billion, four hundred eighteen million, four hundred seventy-two thousand, nine hundred sixty".