33044044104414 has 192 divisors, whose sum is σ = 85124564029440. Its totient is φ = 9065089313280.

The previous prime is 33044044104397. The next prime is 33044044104419. The reversal of 33044044104414 is 41440144044033.

33044044104414 is a `hidden beast` number, since 3 + 30 + 440 + 44 + 104 + 41 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33044044104419) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1071833952 + ... + 1071864780.

It is an arithmetic number, because the mean of its divisors is an integer number (443357104320).

Almost surely, 2^{33044044104414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33044044104414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42562282014720).

33044044104414 is an abundant number, since it is smaller than the sum of its proper divisors (52080519925026).

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

33044044104414 is a wasteful number, since it uses less digits than its factorization.

33044044104414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33015 (or 33012 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 33044044104414 its reverse (41440144044033), we get a palindrome (74484188148447).

The spelling of 33044044104414 in words is "thirty-three trillion, forty-four billion, forty-four million, one hundred four thousand, four hundred fourteen".