20004141400 has 96 divisors (see below), whose sum is σ = 49682244240. Its totient is φ = 7464181760.

The previous prime is 20004141389. The next prime is 20004141403. The reversal of 20004141400 is 414140002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20004141403) 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 23 ways as a sum of consecutive naturals, for example, 358167 + ... + 410233.

Almost surely, 2^20004141400 is an apocalyptic number.

20004141400 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 20004141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24841122120).

20004141400 is an abundant number, since it is smaller than the sum of its proper divisors (29678102840).

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

20004141400 is a wasteful number, since it uses less digits than its factorization.

20004141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52213 (or 52204 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20004141400 its reverse (414140002), we get a palindrome (20418281402).

The spelling of 20004141400 in words is "twenty billion, four million, one hundred forty-one thousand, four hundred".