220311214400 has 168 divisors, whose sum is σ = 574989432696. Its totient is φ = 82796544000.

The previous prime is 220311214391. The next prime is 220311214411. The reversal of 220311214400 is 4412113022.

It can be written as a sum of positive squares in 12 ways, for example, as 2379098176 + 217932116224 = 48776^2 + 466832^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 16340462 + ... + 16353938.

It is an arithmetic number, because the mean of its divisors is an integer number (3422556147).

Almost surely, 2^220311214400 is an apocalyptic number.

220311214400 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 220311214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287494716348).

220311214400 is an abundant number, since it is smaller than the sum of its proper divisors (354678218296).

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

220311214400 is a wasteful number, since it uses less digits than its factorization.

220311214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14117 (or 14102 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 220311214400 its reverse (4412113022), we get a palindrome (224723327422).

The spelling of 220311214400 in words is "two hundred twenty billion, three hundred eleven million, two hundred fourteen thousand, four hundred".