20404011220032 has 224 divisors, whose sum is σ = 59798801147904. Its totient is φ = 6088059648000.

The previous prime is 20404011220027. The next prime is 20404011220039. The reversal of 20404011220032 is 23002211040402.

It is a super-3 number, since 3×20404011220032³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20404011219990 and 20404011220008.

It is not an unprimeable number, because it can be changed into a prime (20404011220039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332645238 + ... + 332706570.

It is an arithmetic number, because the mean of its divisors is an integer number (266958933696).

Almost surely, 2^{20404011220032} is an apocalyptic number.

20404011220032 is a gapful number since it is divisible by the number (22) 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 20404011220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29899400573952).

20404011220032 is an abundant number, since it is smaller than the sum of its proper divisors (39394789927872).

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

20404011220032 is a wasteful number, since it uses less digits than its factorization.

20404011220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63777 (or 63767 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20404011220032 its reverse (23002211040402), we get a palindrome (43406222260434).

The spelling of 20404011220032 in words is "twenty trillion, four hundred four billion, eleven million, two hundred twenty thousand, thirty-two".