41332112640 has 864 divisors, whose sum is σ = 178385276160. Its totient is φ = 8603172864.

The previous prime is 41332112639. The next prime is 41332112677. The reversal of 41332112640 is 4621123314.

It is a happy number.

41332112640 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 2 + 1 + 12 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93300259 + ... + 93300701.

It is an arithmetic number, because the mean of its divisors is an integer number (206464440).

Almost surely, 2^41332112640 is an apocalyptic number.

41332112640 is a gapful number since it is divisible by the number (40) 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 41332112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89192638080).

41332112640 is an abundant number, since it is smaller than the sum of its proper divisors (137053163520).

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

41332112640 is a wasteful number, since it uses less digits than its factorization.

41332112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 41332112640 its reverse (4621123314), we get a palindrome (45953235954).

The spelling of 41332112640 in words is "forty-one billion, three hundred thirty-two million, one hundred twelve thousand, six hundred forty".