20040020000000 has 1944 divisors, whose sum is σ = 69230492007768. Its totient is φ = 5765760000000.

The previous prime is 20040019999999. The next prime is 20040020000009. The reversal of 20040020000000 is 2004002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 1647998657536 + 18392021342464 = 1283744^2 + 4288592^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20040020000009) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1541539999994 + ... + 1541540000006.

Almost surely, 2^{20040020000000} is an apocalyptic number.

20040020000000 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 20040020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34615246003884).

20040020000000 is an abundant number, since it is smaller than the sum of its proper divisors (49190472007768).

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

20040020000000 is an frugal number, since it uses more digits than its factorization.

20040020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 20040020000000 its reverse (2004002), we get a palindrome (20040022004002).

20040020000000 divided by its reverse (2004002) gives a 7-th power (10000000 = 10⁷).

The spelling of 20040020000000 in words is "twenty trillion, forty billion, twenty million", and thus it is an aban number and an uban number.