20442240400 has 60 divisors (see below), whose sum is σ = 49186105732. Its totient is φ = 8164638720.

The previous prime is 20442240361. The next prime is 20442240419. The reversal of 20442240400 is 404224402.

It can be written as a sum of positive squares in 6 ways, for example, as 333865984 + 20108374416 = 18272^2 + 141804^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231232 + ... + 307168.

Almost surely, 2^20442240400 is an apocalyptic number.

20442240400 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 20442240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24593052866).

20442240400 is an abundant number, since it is smaller than the sum of its proper divisors (28743865332).

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

20442240400 is a wasteful number, since it uses less digits than its factorization.

20442240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76628 (or 76617 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 20442240400 its reverse (404224402), we get a palindrome (20846464802).

The spelling of 20442240400 in words is "twenty billion, four hundred forty-two million, two hundred forty thousand, four hundred".