4434322221200 has 120 divisors (see below), whose sum is σ = 11669103832680. Its totient is φ = 1611826585600.

The previous prime is 4434322221193. The next prime is 4434322221271. The reversal of 4434322221200 is 21222234344.

It can be written as a sum of positive squares in 12 ways, for example, as 208304611216 + 4226017609984 = 456404^2 + 2055728^2 .

It is a super-2 number, since 2×4434322221200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11046011 + ... + 11440410.

It is an arithmetic number, because the mean of its divisors is an integer number (97242531939).

Almost surely, 2^{4434322221200} is an apocalyptic number.

4434322221200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4434322221200 is an abundant number, since it is smaller than the sum of its proper divisors (7234781611480).

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

4434322221200 is a wasteful number, since it uses less digits than its factorization.

4434322221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22486485 (or 22486474 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 4434322221200 its reverse (21222234344), we get a palindrome (4455544455544).

The spelling of 4434322221200 in words is "four trillion, four hundred thirty-four billion, three hundred twenty-two million, two hundred twenty-one thousand, two hundred".