20440011022200 has 2304 divisors, whose sum is σ = 96308235878400. Its totient is φ = 3754460160000.

The previous prime is 20440011022147. The next prime is 20440011022213. The reversal of 20440011022200 is 222011004402.

20440011022200 is a `hidden beast` number, since 2 + 0 + 440 + 0 + 1 + 1 + 0 + 2 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2483292085 + ... + 2483300315.

It is an arithmetic number, because the mean of its divisors is an integer number (41800449600).

Almost surely, 2^{20440011022200} is an apocalyptic number.

20440011022200 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 20440011022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48154117939200).

20440011022200 is an abundant number, since it is smaller than the sum of its proper divisors (75868224856200).

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

20440011022200 is a wasteful number, since it uses less digits than its factorization.

20440011022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8354 (or 8342 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20440011022200 its reverse (222011004402), we get a palindrome (20662022026602).

The spelling of 20440011022200 in words is "twenty trillion, four hundred forty billion, eleven million, twenty-two thousand, two hundred".