33413431000 has 64 divisors (see below), whose sum is σ = 78705581760. Its totient is φ = 13276800000.

The previous prime is 33413430983. The next prime is 33413431013. The reversal of 33413431000 is 13431433.

It is a happy number.

It is a super-2 number, since 2×33413431000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40360 + ... + 261640.

It is an arithmetic number, because the mean of its divisors is an integer number (1229774715).

Almost surely, 2^33413431000 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 33413431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39352790880).

33413431000 is an abundant number, since it is smaller than the sum of its proper divisors (45292150760).

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

33413431000 is a wasteful number, since it uses less digits than its factorization.

33413431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221453 (or 221439 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 33413431000 its reverse (13431433), we get a palindrome (33426862433).

The spelling of 33413431000 in words is "thirty-three billion, four hundred thirteen million, four hundred thirty-one thousand".