20400440200 has 96 divisors (see below), whose sum is σ = 54253224000. Its totient is φ = 6988458240.

The previous prime is 20400440191. The next prime is 20400440209. The reversal of 20400440200 is 204400402.

It is an interprime number because it is at equal distance from previous prime (20400440191) and next prime (20400440209).

It is not an unprimeable number, because it can be changed into a prime (20400440209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1824226 + ... + 1835374.

It is an arithmetic number, because the mean of its divisors is an integer number (565137750).

Almost surely, 2^20400440200 is an apocalyptic number.

20400440200 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 20400440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27126612000).

20400440200 is an abundant number, since it is smaller than the sum of its proper divisors (33852783800).

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

20400440200 is a wasteful number, since it uses less digits than its factorization.

20400440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12479 (or 12470 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20400440200 its reverse (204400402), we get a palindrome (20604840602).

The spelling of 20400440200 in words is "twenty billion, four hundred million, four hundred forty thousand, two hundred".