4472179420800 has 768 divisors, whose sum is σ = 18437019955200. Its totient is φ = 927577128960.

The previous prime is 4472179420763. The next prime is 4472179420831. The reversal of 4472179420800 is 80249712744.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4472179420800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51499017 + ... + 51585783.

It is an arithmetic number, because the mean of its divisors is an integer number (24006536400).

Almost surely, 2^{4472179420800} is an apocalyptic number.

4472179420800 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 4472179420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9218509977600).

4472179420800 is an abundant number, since it is smaller than the sum of its proper divisors (13964840534400).

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

4472179420800 is a wasteful number, since it uses less digits than its factorization.

4472179420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86873 (or 86856 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 4472179420800 in words is "four trillion, four hundred seventy-two billion, one hundred seventy-nine million, four hundred twenty thousand, eight hundred".