20800201440 has 192 divisors, whose sum is σ = 68016678912. Its totient is φ = 5337446400.

The previous prime is 20800201439. The next prime is 20800201441. The reversal of 20800201440 is 4410200802.

It is an interprime number because it is at equal distance from previous prime (20800201439) and next prime (20800201441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20800201441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2689419 + ... + 2697141.

It is an arithmetic number, because the mean of its divisors is an integer number (354253536).

Almost surely, 2^20800201440 is an apocalyptic number.

20800201440 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 20800201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34008339456).

20800201440 is an abundant number, since it is smaller than the sum of its proper divisors (47216477472).

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

20800201440 is a wasteful number, since it uses less digits than its factorization.

20800201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7953 (or 7945 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The spelling of 20800201440 in words is "twenty billion, eight hundred million, two hundred one thousand, four hundred forty".