33411412000 has 192 divisors, whose sum is σ = 84064780800. Its totient is φ = 13046092800.

The previous prime is 33411411961. The next prime is 33411412031. The reversal of 33411412000 is 21411433.

It is a super-2 number, since 2×33411412000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76107781 + ... + 76108219.

It is an arithmetic number, because the mean of its divisors is an integer number (437837400).

Almost surely, 2^33411412000 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 33411412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42032390400).

33411412000 is an abundant number, since it is smaller than the sum of its proper divisors (50653368800).

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

33411412000 is a wasteful number, since it uses less digits than its factorization.

33411412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 33411412000 its reverse (21411433), we get a palindrome (33432823433).

The spelling of 33411412000 in words is "thirty-three billion, four hundred eleven million, four hundred twelve thousand".