33440011000 has 128 divisors (see below), whose sum is σ = 85486752000. Its totient is φ = 12142416000.

The previous prime is 33440010979. The next prime is 33440011019. The reversal of 33440011000 is 11004433.

It is a super-2 number, since 2×33440011000² (a number of 22 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9447231 + ... + 9450769.

It is an arithmetic number, because the mean of its divisors is an integer number (667865250).

Almost surely, 2^33440011000 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 33440011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42743376000).

33440011000 is an abundant number, since it is smaller than the sum of its proper divisors (52046741000).

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

33440011000 is a wasteful number, since it uses less digits than its factorization.

33440011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 33440011000 its reverse (11004433), we get a palindrome (33451015433).

The spelling of 33440011000 in words is "thirty-three billion, four hundred forty million, eleven thousand".