20040434324020 has 384 divisors, whose sum is σ = 48617248038912. Its totient is φ = 6874630963200.

The previous prime is 20040434323981. The next prime is 20040434324039. The reversal of 20040434324020 is 2042343404002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20040434324020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24710769415 + ... + 24710770225.

It is an arithmetic number, because the mean of its divisors is an integer number (126607416768).

Almost surely, 2^{20040434324020} is an apocalyptic number.

20040434324020 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 20040434324020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24308624019456).

20040434324020 is an abundant number, since it is smaller than the sum of its proper divisors (28576813714892).

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

20040434324020 is a wasteful number, since it uses less digits than its factorization.

20040434324020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 20040434324020 its reverse (2042343404002), we get a palindrome (22082777728022).

The spelling of 20040434324020 in words is "twenty trillion, forty billion, four hundred thirty-four million, three hundred twenty-four thousand, twenty".