4417920000 has 660 divisors, whose sum is σ = 17457880440. Its totient is φ = 1069056000.

The previous prime is 4417919951. The next prime is 4417920007. The reversal of 4417920000 is 297144.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4417920007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 74879971 + ... + 74880029.

It is an arithmetic number, because the mean of its divisors is an integer number (26451334).

Almost surely, 2^4417920000 is an apocalyptic number.

4417920000 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 4417920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8728940220).

4417920000 is an abundant number, since it is smaller than the sum of its proper divisors (13039960440).

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

4417920000 is a wasteful number, since it uses less digits than its factorization.

4417920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4417920000 is about 66467.4356358059. The cubic root of 4417920000 is about 1640.8641093675.

The spelling of 4417920000 in words is "four billion, four hundred seventeen million, nine hundred twenty thousand".