20440072800 has 864 divisors, whose sum is σ = 86228356032. Its totient is φ = 4459069440.

The previous prime is 20440072789. The next prime is 20440072831. The reversal of 20440072800 is 827004402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180885544 + ... + 180885656.

It is an arithmetic number, because the mean of its divisors is an integer number (99801338).

Almost surely, 2^20440072800 is an apocalyptic number.

20440072800 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 20440072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43114178016).

20440072800 is an abundant number, since it is smaller than the sum of its proper divisors (65788283232).

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

20440072800 is a wasteful number, since it uses less digits than its factorization.

20440072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 20440072800 in words is "twenty billion, four hundred forty million, seventy-two thousand, eight hundred".