33330401312 has 96 divisors (see below), whose sum is σ = 75435131520. Its totient is φ = 14368112640.

The previous prime is 33330401219. The next prime is 33330401333. The reversal of 33330401312 is 21310403333.

It is a super-2 number, since 2×33330401312² (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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531488 + ... + 590880.

It is an arithmetic number, because the mean of its divisors is an integer number (785782620).

Almost surely, 2^33330401312 is an apocalyptic number.

33330401312 is a gapful number since it is divisible by the number (32) 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 33330401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37717565760).

33330401312 is an abundant number, since it is smaller than the sum of its proper divisors (42104730208).

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

33330401312 is a wasteful number, since it uses less digits than its factorization.

33330401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59506 (or 59498 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 33330401312 its reverse (21310403333), we get a palindrome (54640804645).

The spelling of 33330401312 in words is "thirty-three billion, three hundred thirty million, four hundred one thousand, three hundred twelve".