220201333240400 has 120 divisors (see below), whose sum is σ = 535126284870840. Its totient is φ = 87066708664320.

The previous prime is 220201333240337. The next prime is 220201333240403. The reversal of 220201333240400 is 4042333102022.

It can be written as a sum of positive squares in 12 ways, for example, as 170375692262416 + 49825640977984 = 13052804^2 + 7058728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 220201333240400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220201333240403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127766804 + ... + 129478796.

It is an arithmetic number, because the mean of its divisors is an integer number (4459385707257).

Almost surely, 2^{220201333240400} is an apocalyptic number.

220201333240400 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 220201333240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267563142435420).

220201333240400 is an abundant number, since it is smaller than the sum of its proper divisors (314924951630440).

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

220201333240400 is a wasteful number, since it uses less digits than its factorization.

220201333240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715713 (or 1715702 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 220201333240400 its reverse (4042333102022), we get a palindrome (224243666342422).

The spelling of 220201333240400 in words is "two hundred twenty trillion, two hundred one billion, three hundred thirty-three million, two hundred forty thousand, four hundred".