4416873552 has 480 divisors, whose sum is σ = 16014974976. Its totient is φ = 1105228800.

The previous prime is 4416873529. The next prime is 4416873569. The reversal of 4416873552 is 2553786144.

4416873552 is a `hidden beast` number, since 4 + 4 + 16 + 87 + 3 + 552 = 666.

It is a super-3 number, since 3×4416873552³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4416873498 and 4416873507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33716527 + ... + 33716657.

Almost surely, 2^4416873552 is an apocalyptic number.

4416873552 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 4416873552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007487488).

4416873552 is an abundant number, since it is smaller than the sum of its proper divisors (11598101424).

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

4416873552 is a wasteful number, since it uses less digits than its factorization.

4416873552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 4416873552 is about 66459.5632847523. The cubic root of 4416873552 is about 1640.7345450360.

The spelling of 4416873552 in words is "four billion, four hundred sixteen million, eight hundred seventy-three thousand, five hundred fifty-two".