41533022304 has 144 divisors (see below), whose sum is σ = 121504743360. Its totient is φ = 13449246720.

The previous prime is 41533022287. The next prime is 41533022327. The reversal of 41533022304 is 40322033514.

41533022304 is a `hidden beast` number, since 4 + 1 + 5 + 330 + 22 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×41533022304² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2814754 + ... + 2829470.

It is an arithmetic number, because the mean of its divisors is an integer number (843782940).

Almost surely, 2^41533022304 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 41533022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60752371680).

41533022304 is an abundant number, since it is smaller than the sum of its proper divisors (79971721056).

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

41533022304 is a wasteful number, since it uses less digits than its factorization.

41533022304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15013 (or 15002 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 41533022304 its reverse (40322033514), we get a palindrome (81855055818).

The spelling of 41533022304 in words is "forty-one billion, five hundred thirty-three million, twenty-two thousand, three hundred four".