4417066752 has 216 divisors, whose sum is σ = 14277062016. Its totient is φ = 1187364864.

The previous prime is 4417066739. The next prime is 4417066783. The reversal of 4417066752 is 2576607144.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1552243 + ... + 1555085.

Almost surely, 2^4417066752 is an apocalyptic number.

4417066752 is a gapful number since it is divisible by the number (42) 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 4417066752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138531008).

4417066752 is an abundant number, since it is smaller than the sum of its proper divisors (9859995264).

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

4417066752 is a wasteful number, since it uses less digits than its factorization.

4417066752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 4417066752 is about 66461.0167842774. The cubic root of 4417066752 is about 1640.7584673337.

The spelling of 4417066752 in words is "four billion, four hundred seventeen million, sixty-six thousand, seven hundred fifty-two".