33405004300 has 72 divisors (see below), whose sum is σ = 76403703600. Its totient is φ = 12657765120.

The previous prime is 33405004231. The next prime is 33405004307. The reversal of 33405004300 is 340050433.

It is a super-2 number, since 2×33405004300² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33405004307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45031 + ... + 262369.

It is an arithmetic number, because the mean of its divisors is an integer number (1061162550).

Almost surely, 2^33405004300 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 33405004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38201851800).

33405004300 is an abundant number, since it is smaller than the sum of its proper divisors (42998699300).

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

33405004300 is a wasteful number, since it uses less digits than its factorization.

33405004300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217435 (or 217428 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

Adding to 33405004300 its reverse (340050433), we get a palindrome (33745054733).

The spelling of 33405004300 in words is "thirty-three billion, four hundred five million, four thousand, three hundred".