20034105840 has 960 divisors, whose sum is σ = 85950498816. Its totient is φ = 4237111296.

The previous prime is 20034105811. The next prime is 20034105851. The reversal of 20034105840 is 4850143002.

20034105840 is a `hidden beast` number, since 200 + 3 + 410 + 5 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115803994 + ... + 115804166.

Almost surely, 2^20034105840 is an apocalyptic number.

20034105840 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 20034105840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42975249408).

20034105840 is an abundant number, since it is smaller than the sum of its proper divisors (65916392976).

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

20034105840 is a wasteful number, since it uses less digits than its factorization.

20034105840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 20034105840 its reverse (4850143002), we get a palindrome (24884248842).

The spelling of 20034105840 in words is "twenty billion, thirty-four million, one hundred five thousand, eight hundred forty".