33000410880 has 648 divisors, whose sum is σ = 126978978672. Its totient is φ = 8177614848.

The previous prime is 33000410857. The next prime is 33000410893. The reversal of 33000410880 is 8801400033.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 417726681 + ... + 417726759.

It is an arithmetic number, because the mean of its divisors is an integer number (195955214).

Almost surely, 2^33000410880 is an apocalyptic number.

33000410880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33000410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63489489336).

33000410880 is an abundant number, since it is smaller than the sum of its proper divisors (93978567792).

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

33000410880 is an frugal number, since it uses more digits than its factorization.

33000410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 33000410880 in words is "thirty-three billion, four hundred ten thousand, eight hundred eighty".