33244010040 has 128 divisors (see below), whose sum is σ = 100638236160. Its totient is φ = 8784889344.

The previous prime is 33244010029. The next prime is 33244010071. The reversal of 33244010040 is 4001044233.

It is a super-2 number, since 2×33244010040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33244009989 and 33244010016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6214647 + ... + 6219993.

It is an arithmetic number, because the mean of its divisors is an integer number (786236220).

Almost surely, 2^33244010040 is an apocalyptic number.

33244010040 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 33244010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319118080).

33244010040 is an abundant number, since it is smaller than the sum of its proper divisors (67394226120).

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

33244010040 is a wasteful number, since it uses less digits than its factorization.

33244010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5821 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 33244010040 its reverse (4001044233), we get a palindrome (37245054273).

The spelling of 33244010040 in words is "thirty-three billion, two hundred forty-four million, ten thousand, forty".