4404166800 has 240 divisors, whose sum is σ = 15536832960. Its totient is φ = 1057536000.

The previous prime is 4404166777. The next prime is 4404166817. The reversal of 4404166800 is 86614044.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1437270 + ... + 1440330.

It is an arithmetic number, because the mean of its divisors is an integer number (64736804).

Almost surely, 2^4404166800 is an apocalyptic number.

4404166800 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 4404166800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7768416480).

4404166800 is an abundant number, since it is smaller than the sum of its proper divisors (11132666160).

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

4404166800 is a wasteful number, since it uses less digits than its factorization.

4404166800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4404166800 is about 66363.8968114441. The cubic root of 4404166800 is about 1639.1596428327.

The spelling of 4404166800 in words is "four billion, four hundred four million, one hundred sixty-six thousand, eight hundred".