20144004000 has 192 divisors, whose sum is σ = 66434764032. Its totient is φ = 5335680000.

The previous prime is 20144003977. The next prime is 20144004019. The reversal of 20144004000 is 40044102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1806442 + ... + 1817558.

It is an arithmetic number, because the mean of its divisors is an integer number (346014396).

Almost surely, 2^20144004000 is an apocalyptic number.

20144004000 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 20144004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33217382016).

20144004000 is an abundant number, since it is smaller than the sum of its proper divisors (46290760032).

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

20144004000 is a wasteful number, since it uses less digits than its factorization.

20144004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11296 (or 11278 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20144004000 its reverse (40044102), we get a palindrome (20184048102).

The spelling of 20144004000 in words is "twenty billion, one hundred forty-four million, four thousand".