20440771200 has 576 divisors, whose sum is σ = 76700507520. Its totient is φ = 5374771200.

The previous prime is 20440771189. The next prime is 20440771259. The reversal of 20440771200 is 217704402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75427065 + ... + 75427335.

Almost surely, 2^20440771200 is an apocalyptic number.

20440771200 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 20440771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38350253760).

20440771200 is an abundant number, since it is smaller than the sum of its proper divisors (56259736320).

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

20440771200 is an equidigital number, since it uses as much as digits as its factorization.

20440771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 20440771200 in words is "twenty billion, four hundred forty million, seven hundred seventy-one thousand, two hundred".