20400244000 has 96 divisors (see below), whose sum is σ = 50187586176. Its totient is φ = 8149651200.

The previous prime is 20400243991. The next prime is 20400244003. The reversal of 20400244000 is 44200402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20400244003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3625189 + ... + 3630811.

It is an arithmetic number, because the mean of its divisors is an integer number (522787356).

Almost surely, 2^20400244000 is an apocalyptic number.

20400244000 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 20400244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25093793088).

20400244000 is an abundant number, since it is smaller than the sum of its proper divisors (29787342176).

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

20400244000 is an equidigital number, since it uses as much as digits as its factorization.

20400244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6555 (or 6537 counting only the distinct ones).

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

Adding to 20400244000 its reverse (44200402), we get a palindrome (20444444402).

The spelling of 20400244000 in words is "twenty billion, four hundred million, two hundred forty-four thousand".