4466198880 has 864 divisors, whose sum is σ = 19174270752. Its totient is φ = 932659200.

The previous prime is 4466198879. The next prime is 4466198899. The reversal of 4466198880 is 888916644.

4466198880 is a `hidden beast` number, since 446 + 6 + 198 + 8 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108931660 + ... + 108931700.

It is an arithmetic number, because the mean of its divisors is an integer number (22192443).

Almost surely, 2^4466198880 is an apocalyptic number.

4466198880 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 4466198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9587135376).

4466198880 is an abundant number, since it is smaller than the sum of its proper divisors (14708071872).

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

4466198880 is a wasteful number, since it uses less digits than its factorization.

4466198880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 98 counting only the distinct ones).

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

The square root of 4466198880 is about 66829.6257658233. The cubic root of 4466198880 is about 1646.8195705257.

The spelling of 4466198880 in words is "four billion, four hundred sixty-six million, one hundred ninety-eight thousand, eight hundred eighty".