33404234414000 has 160 divisors (see below), whose sum is σ = 84328314071040. Its totient is φ = 12773915616000.

The previous prime is 33404234413987. The next prime is 33404234414017. The reversal of 33404234414000 is 41443240433.

It is a super-2 number, since 2×33404234414000² (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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86240765 + ... + 86627235.

It is an arithmetic number, because the mean of its divisors is an integer number (527051962944).

Almost surely, 2^{33404234414000} 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 33404234414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42164157035520).

33404234414000 is an abundant number, since it is smaller than the sum of its proper divisors (50924079657040).

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

33404234414000 is a wasteful number, since it uses less digits than its factorization.

33404234414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388396 (or 388380 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 33404234414000 its reverse (41443240433), we get a palindrome (33445677654433).

The spelling of 33404234414000 in words is "thirty-three trillion, four hundred four billion, two hundred thirty-four million, four hundred fourteen thousand".