33142424320 has 72 divisors (see below), whose sum is σ = 79667851536. Its totient is φ = 13209980928.

The previous prime is 33142424303. The next prime is 33142424323. The reversal of 33142424320 is 2342424133.

It is not an unprimeable number, because it can be changed into a prime (33142424323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316494 + ... + 407986.

It is an arithmetic number, because the mean of its divisors is an integer number (1106497938).

Almost surely, 2^33142424320 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 33142424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39833925768).

33142424320 is an abundant number, since it is smaller than the sum of its proper divisors (46525427216).

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

33142424320 is an equidigital number, since it uses as much as digits as its factorization.

33142424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91797 (or 91783 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 33142424320 its reverse (2342424133), we get a palindrome (35484848453).

The spelling of 33142424320 in words is "thirty-three billion, one hundred forty-two million, four hundred twenty-four thousand, three hundred twenty".