4438615222272 has 1440 divisors, whose sum is σ = 16239521844000. Its totient is φ = 1071601090560.

The previous prime is 4438615222271. The next prime is 4438615222333. The reversal of 4438615222272 is 2722225168344.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4438615222271) by changing a digit.

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, 83747456998 + ... + 83747457050.

It is an arithmetic number, because the mean of its divisors is an integer number (11277445725).

Almost surely, 2^{4438615222272} is an apocalyptic number.

4438615222272 is a gapful number since it is divisible by the number (42) 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 4438615222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8119760922000).

4438615222272 is an abundant number, since it is smaller than the sum of its proper divisors (11800906621728).

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

4438615222272 is an equidigital number, since it uses as much as digits as its factorization.

4438615222272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 95 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 48.

The spelling of 4438615222272 in words is "four trillion, four hundred thirty-eight billion, six hundred fifteen million, two hundred twenty-two thousand, two hundred seventy-two".