4173944320 has 640 divisors, whose sum is σ = 13859112960. Its totient is φ = 1167851520.

The previous prime is 4173944317. The next prime is 4173944347. The reversal of 4173944320 is 234493714.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×4173944320² = 34843622372920524800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4173944320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101803500 + ... + 101803540.

It is an arithmetic number, because the mean of its divisors is an integer number (21654864).

Almost surely, 2^4173944320 is an apocalyptic number.

4173944320 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 4173944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929556480).

4173944320 is an abundant number, since it is smaller than the sum of its proper divisors (9685168640).

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

4173944320 is a wasteful number, since it uses less digits than its factorization.

4173944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 4173944320 is about 64606.0703030296. The cubic root of 4173944320 is about 1610.0852956881.

The spelling of 4173944320 in words is "four billion, one hundred seventy-three million, nine hundred forty-four thousand, three hundred twenty".