33234431020434 has 384 divisors, whose sum is σ = 89127628701696. Its totient is φ = 8741779200000.

The previous prime is 33234431020433. The next prime is 33234431020487. The reversal of 33234431020434 is 43402013443233.

33234431020434 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 443 + 1 + 0 + 204 + 3 + 4 = 666.

It is a super-2 number, since 2×33234431020434² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33234431020433) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18958602102 + ... + 18958603854.

It is an arithmetic number, because the mean of its divisors is an integer number (232103199744).

Almost surely, 2^{33234431020434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33234431020434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44563814350848).

33234431020434 is an abundant number, since it is smaller than the sum of its proper divisors (55893197681262).

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

33234431020434 is a wasteful number, since it uses less digits than its factorization.

33234431020434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 33234431020434 its reverse (43402013443233), we get a palindrome (76636444463667).

The spelling of 33234431020434 in words is "thirty-three trillion, two hundred thirty-four billion, four hundred thirty-one million, twenty thousand, four hundred thirty-four".