33413004240 has 320 divisors, whose sum is σ = 133594306560. Its totient is φ = 6703441920.

The previous prime is 33413004143. The next prime is 33413004241. The reversal of 33413004240 is 4240031433.

It is a super-2 number, since 2×33413004240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 33413004240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33413004241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 504747 + ... + 567093.

It is an arithmetic number, because the mean of its divisors is an integer number (417482208).

Almost surely, 2^33413004240 is an apocalyptic number.

33413004240 is a gapful number since it is divisible by the number (30) 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 33413004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66797153280).

33413004240 is an abundant number, since it is smaller than the sum of its proper divisors (100181302320).

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

33413004240 is a wasteful number, since it uses less digits than its factorization.

33413004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62410 (or 62404 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 33413004240 its reverse (4240031433), we get a palindrome (37653035673).

The spelling of 33413004240 in words is "thirty-three billion, four hundred thirteen million, four thousand, two hundred forty".