4430222400032 has 144 divisors (see below), whose sum is σ = 10448251248960. Its totient is φ = 1832652057600.

The previous prime is 4430222400029. The next prime is 4430222400073. The reversal of 4430222400032 is 2300042220344.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 4430222399974 and 4430222400010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3699194 + ... + 4748102.

It is an arithmetic number, because the mean of its divisors is an integer number (72557300340).

Almost surely, 2^{4430222400032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4430222400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224125624480).

4430222400032 is an abundant number, since it is smaller than the sum of its proper divisors (6018028848928).

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

4430222400032 is a wasteful number, since it uses less digits than its factorization.

4430222400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049027 (or 1049006 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 4430222400032 its reverse (2300042220344), we get a palindrome (6730264620376).

The spelling of 4430222400032 in words is "four trillion, four hundred thirty billion, two hundred twenty-two million, four hundred thousand, thirty-two".