33413421341300 has 288 divisors, whose sum is σ = 99189072993024. Its totient is φ = 9432064512000.

The previous prime is 33413421341297. The next prime is 33413421341327. The reversal of 33413421341300 is 314312431433.

It is a happy number.

It is a super-2 number, since 2×33413421341300² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2156240 + ... + 8454360.

It is an arithmetic number, because the mean of its divisors is an integer number (344406503448).

Almost surely, 2^{33413421341300} 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 33413421341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49594536496512).

33413421341300 is an abundant number, since it is smaller than the sum of its proper divisors (65775651651724).

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

33413421341300 is a wasteful number, since it uses less digits than its factorization.

33413421341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298219 (or 6298212 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 33413421341300 its reverse (314312431433), we get a palindrome (33727733772733).

The spelling of 33413421341300 in words is "thirty-three trillion, four hundred thirteen billion, four hundred twenty-one million, three hundred forty-one thousand, three hundred".