20220440224400 has 120 divisors (see below), whose sum is σ = 52363352192424. Its totient is φ = 7459322572800.

The previous prime is 20220440224373. The next prime is 20220440224421. The reversal of 20220440224400 is 442204402202.

It can be written as a sum of positive squares in 12 ways, for example, as 18381009886864 + 1839430337536 = 4287308^2 + 1356256^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 20220440224400.

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, 4067780 + ... + 7549020.

Almost surely, 2^{20220440224400} is an apocalyptic number.

20220440224400 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 20220440224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26181676096212).

20220440224400 is an abundant number, since it is smaller than the sum of its proper divisors (32142911968024).

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

20220440224400 is a wasteful number, since it uses less digits than its factorization.

20220440224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482389 (or 3482378 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 20220440224400 its reverse (442204402202), we get a palindrome (20662644626602).

The spelling of 20220440224400 in words is "twenty trillion, two hundred twenty billion, four hundred forty million, two hundred twenty-four thousand, four hundred".