20004824125440 has 1248 divisors, whose sum is σ = 91538361398016. Its totient is φ = 3912278999040.

The previous prime is 20004824125399. The next prime is 20004824125441. The reversal of 20004824125440 is 4452142840002.

20004824125440 is a `hidden beast` number, since 20 + 0 + 0 + 4 + 82 + 4 + 12 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20004824125395 and 20004824125404.

It is not an unprimeable number, because it can be changed into a prime (20004824125441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241233424 + ... + 241316336.

It is an arithmetic number, because the mean of its divisors is an integer number (73348045992).

Almost surely, 2^{20004824125440} is an apocalyptic number.

20004824125440 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 20004824125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45769180699008).

20004824125440 is an abundant number, since it is smaller than the sum of its proper divisors (71533537272576).

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

20004824125440 is a wasteful number, since it uses less digits than its factorization.

20004824125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82983 (or 82958 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 20004824125440 its reverse (4452142840002), we get a palindrome (24456966965442).

The spelling of 20004824125440 in words is "twenty trillion, four billion, eight hundred twenty-four million, one hundred twenty-five thousand, four hundred forty".