4164422331200 has 84 divisors (see below), whose sum is σ = 10276111652460. Its totient is φ = 1661049815040.

The previous prime is 4164422331193. The next prime is 4164422331239. The reversal of 4164422331200 is 21332244614.

It can be written as a sum of positive squares in 6 ways, for example, as 179959214656 + 3984463116544 = 424216^2 + 1996112^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3121835 + ... + 4251434.

Almost surely, 2^{4164422331200} is an apocalyptic number.

4164422331200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4164422331200 is an abundant number, since it is smaller than the sum of its proper divisors (6111689321260).

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

4164422331200 is a wasteful number, since it uses less digits than its factorization.

4164422331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7373644 (or 7373629 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 4164422331200 its reverse (21332244614), we get a palindrome (4185754575814).

The spelling of 4164422331200 in words is "four trillion, one hundred sixty-four billion, four hundred twenty-two million, three hundred thirty-one thousand, two hundred".