33109243440 has 640 divisors, whose sum is σ = 134918031360. Its totient is φ = 6521389056.

The previous prime is 33109243423. The next prime is 33109243507. The reversal of 33109243440 is 4434290133.

It is a super-3 number, since 3×33109243440³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30291534 + ... + 30292626.

It is an arithmetic number, because the mean of its divisors is an integer number (210809424).

Almost surely, 2^33109243440 is an apocalyptic number.

33109243440 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 33109243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67459015680).

33109243440 is an abundant number, since it is smaller than the sum of its proper divisors (101808787920).

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

33109243440 is a wasteful number, since it uses less digits than its factorization.

33109243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 33109243440 in words is "thirty-three billion, one hundred nine million, two hundred forty-three thousand, four hundred forty".