33140531424 has 576 divisors, whose sum is σ = 125194325760. Its totient is φ = 7524679680.

The previous prime is 33140531401. The next prime is 33140531441. The reversal of 33140531424 is 42413504133.

It is a junction number, because it is equal to n+sod(n) for n = 33140531391 and 33140531400.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 12779472 + ... + 12782064.

It is an arithmetic number, because the mean of its divisors is an integer number (217351260).

Almost surely, 2^33140531424 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 33140531424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62597162880).

33140531424 is an abundant number, since it is smaller than the sum of its proper divisors (92053794336).

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

33140531424 is a wasteful number, since it uses less digits than its factorization.

33140531424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 33140531424 in words is "thirty-three billion, one hundred forty million, five hundred thirty-one thousand, four hundred twenty-four".