33340001024 has 144 divisors (see below), whose sum is σ = 78889896960. Its totient is φ = 13893120000.

The previous prime is 33340000999. The next prime is 33340001083. The reversal of 33340001024 is 42010004333.

It is a super-4 number, since 4×33340001024⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 33340000987 and 33340001005.

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, 1648574 + ... + 1668674.

Almost surely, 2^33340001024 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 33340001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39444948480).

33340001024 is an abundant number, since it is smaller than the sum of its proper divisors (45549895936).

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

33340001024 is a wasteful number, since it uses less digits than its factorization.

33340001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20178 (or 20164 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 33340001024 its reverse (42010004333), we get a palindrome (75350005357).

The spelling of 33340001024 in words is "thirty-three billion, three hundred forty million, one thousand, twenty-four".