4416890688 has 448 divisors, whose sum is σ = 15566745600. Its totient is φ = 1201858560.

The previous prime is 4416890671. The next prime is 4416890701. The reversal of 4416890688 is 8860986144.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4416890688² = 39017846699482226688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31776123 + ... + 31776261.

It is an arithmetic number, because the mean of its divisors is an integer number (34747200).

Almost surely, 2^4416890688 is an apocalyptic number.

4416890688 is a gapful number since it is divisible by the number (48) 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 4416890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783372800).

4416890688 is an abundant number, since it is smaller than the sum of its proper divisors (11149854912).

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

4416890688 is a wasteful number, since it uses less digits than its factorization.

4416890688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 4416890688 is about 66459.6922051254. The cubic root of 4416890688 is about 1640.7366668679.

The spelling of 4416890688 in words is "four billion, four hundred sixteen million, eight hundred ninety thousand, six hundred eighty-eight".