33213223440 has 120 divisors (see below), whose sum is σ = 112624249920. Its totient is φ = 8770851072.

The previous prime is 33213223411. The next prime is 33213223457. The reversal of 33213223440 is 4432231233.

33213223440 is a `hidden beast` number, since 3 + 3 + 213 + 2 + 2 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33213223440² (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 23 ways as a sum of consecutive naturals, for example, 149770 + ... + 298089.

It is an arithmetic number, because the mean of its divisors is an integer number (938535416).

Almost surely, 2^33213223440 is an apocalyptic number.

33213223440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33213223440 is an abundant number, since it is smaller than the sum of its proper divisors (79411026480).

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

33213223440 is a wasteful number, since it uses less digits than its factorization.

33213223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447981 (or 447972 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 33213223440 its reverse (4432231233), we get a palindrome (37645454673).

The spelling of 33213223440 in words is "thirty-three billion, two hundred thirteen million, two hundred twenty-three thousand, four hundred forty".