33434230400000 has 132 divisors (see below), whose sum is σ = 83539423861236. Its totient is φ = 13373690880000.

The previous prime is 33434230399943. The next prime is 33434230400041. The reversal of 33434230400000 is 403243433.

It can be written as a sum of positive squares in 6 ways, for example, as 16420519346176 + 17013711053824 = 4052224^2 + 4124768^2 .

It is a super-2 number, since 2×33434230400000² (a number of 28 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2024099 + ... + 8424098.

Almost surely, 2^{33434230400000} is an apocalyptic number.

It is an amenable number.

33434230400000 is an abundant number, since it is smaller than the sum of its proper divisors (50105193461236).

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

33434230400000 is an frugal number, since it uses more digits than its factorization.

33434230400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10448242 (or 10448204 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 33434230400000 its reverse (403243433), we get a palindrome (33434633643433).

The spelling of 33434230400000 in words is "thirty-three trillion, four hundred thirty-four billion, two hundred thirty million, four hundred thousand".