4173482880 has 960 divisors, whose sum is σ = 18234564480. Its totient is φ = 905748480.

The previous prime is 4173482869. The next prime is 4173482921. The reversal of 4173482880 is 882843714.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 78744934 + ... + 78744986.

It is an arithmetic number, because the mean of its divisors is an integer number (18994338).

Almost surely, 2^4173482880 is an apocalyptic number.

4173482880 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 4173482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9117282240).

4173482880 is an abundant number, since it is smaller than the sum of its proper divisors (14061081600).

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

4173482880 is a wasteful number, since it uses less digits than its factorization.

4173482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 4173482880 is about 64602.4990228706. The cubic root of 4173482880 is about 1610.0259605140.

The spelling of 4173482880 in words is "four billion, one hundred seventy-three million, four hundred eighty-two thousand, eight hundred eighty".