20440366800 has 480 divisors, whose sum is σ = 78587351040. Its totient is φ = 4440268800.

The previous prime is 20440366729. The next prime is 20440366813. The reversal of 20440366800 is 866304402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46560981 + ... + 46561419.

It is an arithmetic number, because the mean of its divisors is an integer number (163723648).

Almost surely, 2^20440366800 is an apocalyptic number.

20440366800 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 20440366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39293675520).

20440366800 is an abundant number, since it is smaller than the sum of its proper divisors (58146984240).

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

20440366800 is a wasteful number, since it uses less digits than its factorization.

20440366800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 20440366800 in words is "twenty billion, four hundred forty million, three hundred sixty-six thousand, eight hundred".