220332340110400 has 252 divisors, whose sum is σ = 630735885628068. Its totient is φ = 75534673858560.

The previous prime is 220332340110371. The next prime is 220332340110431. The reversal of 220332340110400 is 4011043233022.

It can be written as a sum of positive squares in 6 ways, for example, as 38450218278976 + 181882121831424 = 6200824^2 + 13486368^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 781742302 + ... + 782024098.

Almost surely, 2^{220332340110400} is an apocalyptic number.

220332340110400 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 220332340110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315367942814034).

220332340110400 is an abundant number, since it is smaller than the sum of its proper divisors (410403545517668).

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

220332340110400 is a wasteful number, since it uses less digits than its factorization.

220332340110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291806 (or 291784 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 220332340110400 its reverse (4011043233022), we get a palindrome (224343383343422).

The spelling of 220332340110400 in words is "two hundred twenty trillion, three hundred thirty-two billion, three hundred forty million, one hundred ten thousand, four hundred".