220011324432400 has 120 divisors (see below), whose sum is σ = 539868152191104. Its totient is φ = 86124973324800.

The previous prime is 220011324432349. The next prime is 220011324432421. The reversal of 220011324432400 is 4234423110022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229878855 + ... + 230833945.

Almost surely, 2^{220011324432400} is an apocalyptic number.

220011324432400 is a gapful number since it is divisible by the number (20) 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 220011324432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269934076095552).

220011324432400 is an abundant number, since it is smaller than the sum of its proper divisors (319856827758704).

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

220011324432400 is a wasteful number, since it uses less digits than its factorization.

220011324432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967409 (or 967398 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 220011324432400 its reverse (4234423110022), we get a palindrome (224245747542422).

The spelling of 220011324432400 in words is "two hundred twenty trillion, eleven billion, three hundred twenty-four million, four hundred thirty-two thousand, four hundred".