4166444304 has 225 divisors, whose sum is σ = 13336639239. Its totient is φ = 1254813120.

The previous prime is 4166444291. The next prime is 4166444323. The reversal of 4166444304 is 4034446614.

The square root of 4166444304 is 64548.

It is a perfect power (a square), and thus also a powerful number.

4166444304 is a `hidden beast` number, since 4 + 1 + 6 + 644 + 4 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25560927 + ... + 25561089.

Almost surely, 2^4166444304 is an apocalyptic number.

4166444304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4166444304 is the 64548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4166444304

4166444304 is an abundant number, since it is smaller than the sum of its proper divisors (9170194935).

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

4166444304 is a wasteful number, since it uses less digits than its factorization.

4166444304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The cubic root of 4166444304 is about 1609.1203486609.

Multiplying 4166444304 by its sum of digits (36), we get a square (149991994944 = 387288²).

4166444304 divided by its sum of digits (36) gives a square (115734564 = 10758²).

The spelling of 4166444304 in words is "four billion, one hundred sixty-six million, four hundred forty-four thousand, three hundred four".