220431443144000 has 336 divisors, whose sum is σ = 600178783211280. Its totient is φ = 80137970176000.

The previous prime is 220431443143993. The next prime is 220431443144039. The reversal of 220431443144000 is 441344134022.

220431443144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 140787527313664 + 79643915830336 = 11865392^2 + 8924344^2 .

It is a super-3 number, since 3×220431443144000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 47 ways as a sum of consecutive naturals, for example, 4488591446 + ... + 4488640554.

It is an arithmetic number, because the mean of its divisors is an integer number (1786246378605).

Almost surely, 2^{220431443144000} is an apocalyptic number.

220431443144000 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 220431443144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300089391605640).

220431443144000 is an abundant number, since it is smaller than the sum of its proper divisors (379747340067280).

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

220431443144000 is a wasteful number, since it uses less digits than its factorization.

220431443144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53795 (or 53764 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 220431443144000 its reverse (441344134022), we get a palindrome (220872787278022).

The spelling of 220431443144000 in words is "two hundred twenty trillion, four hundred thirty-one billion, four hundred forty-three million, one hundred forty-four thousand".