20130233340420 has 1152 divisors, whose sum is σ = 76952390860800. Its totient is φ = 4245284736000.

The previous prime is 20130233340407. The next prime is 20130233340431. The reversal of 20130233340420 is 2404333203102.

20130233340420 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 0 + 233 + 3 + 4 + 0 + 420 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18972886690 + ... + 18972887750.

It is an arithmetic number, because the mean of its divisors is an integer number (66798950400).

Almost surely, 2^{20130233340420} is an apocalyptic number.

20130233340420 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 20130233340420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38476195430400).

20130233340420 is an abundant number, since it is smaller than the sum of its proper divisors (56822157520380).

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

20130233340420 is a wasteful number, since it uses less digits than its factorization.

20130233340420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20130233340420 its reverse (2404333203102), we get a palindrome (22534566543522).

The spelling of 20130233340420 in words is "twenty trillion, one hundred thirty billion, two hundred thirty-three million, three hundred forty thousand, four hundred twenty".