4479448172320 has 288 divisors, whose sum is σ = 11971093680000. Its totient is φ = 1570813870080.

The previous prime is 4479448172293. The next prime is 4479448172351. The reversal of 4479448172320 is 232718449744.

It is a super-3 number, since 3×4479448172320³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 1848718629 + ... + 1848721051.

It is an arithmetic number, because the mean of its divisors is an integer number (41566297500).

Almost surely, 2^{4479448172320} is an apocalyptic number.

4479448172320 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 4479448172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985546840000).

4479448172320 is an abundant number, since it is smaller than the sum of its proper divisors (7491645507680).

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

4479448172320 is a wasteful number, since it uses less digits than its factorization.

4479448172320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 55.

The spelling of 4479448172320 in words is "four trillion, four hundred seventy-nine billion, four hundred forty-eight million, one hundred seventy-two thousand, three hundred twenty".