33814440000 has 420 divisors, whose sum is σ = 132140888880. Its totient is φ = 8196480000.

The previous prime is 33814439947. The next prime is 33814440031. The reversal of 33814440000 is 4441833.

It is a super-2 number, since 2×33814440000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3955731 + ... + 3964269.

It is an arithmetic number, because the mean of its divisors is an integer number (314621164).

Almost surely, 2^33814440000 is an apocalyptic number.

33814440000 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 33814440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66070444440).

33814440000 is an abundant number, since it is smaller than the sum of its proper divisors (98326448880).

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

33814440000 is a wasteful number, since it uses less digits than its factorization.

33814440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8588 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 33814440000 its reverse (4441833), we get a palindrome (33818881833).

The spelling of 33814440000 in words is "thirty-three billion, eight hundred fourteen million, four hundred forty thousand".