33420434140 has 96 divisors (see below), whose sum is σ = 73229764608. Its totient is φ = 12801600000.

The previous prime is 33420434041. The next prime is 33420434153. The reversal of 33420434140 is 4143402433.

It is a super-2 number, since 2×33420434140² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33420434099 and 33420434108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14612077 + ... + 14614363.

It is an arithmetic number, because the mean of its divisors is an integer number (762810048).

Almost surely, 2^33420434140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33420434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36614882304).

33420434140 is an abundant number, since it is smaller than the sum of its proper divisors (39809330468).

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

33420434140 is a wasteful number, since it uses less digits than its factorization.

33420434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 33420434140 its reverse (4143402433), we get a palindrome (37563836573).

The spelling of 33420434140 in words is "thirty-three billion, four hundred twenty million, four hundred thirty-four thousand, one hundred forty".