33240813144 has 384 divisors, whose sum is σ = 109166400000. Its totient is φ = 8245923840.

The previous prime is 33240813107. The next prime is 33240813191. The reversal of 33240813144 is 44131804233.

It is a super-2 number, since 2×33240813144² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66614607 + ... + 66615105.

It is an arithmetic number, because the mean of its divisors is an integer number (284287500).

Almost surely, 2^33240813144 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 33240813144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54583200000).

33240813144 is an abundant number, since it is smaller than the sum of its proper divisors (75925586856).

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

33240813144 is a wasteful number, since it uses less digits than its factorization.

33240813144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 33240813144 in words is "thirty-three billion, two hundred forty million, eight hundred thirteen thousand, one hundred forty-four".