41249631536640 has 480 divisors, whose sum is σ = 152453778048000. Its totient is φ = 10271317819392.

The previous prime is 41249631536569. The next prime is 41249631536651. The reversal of 41249631536640 is 4663513694214.

41249631536640 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 9 + 63 + 1 + 536 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49328736 + ... + 50157984.

It is an arithmetic number, because the mean of its divisors is an integer number (317612037600).

Almost surely, 2^{41249631536640} is an apocalyptic number.

41249631536640 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 41249631536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76226889024000).

41249631536640 is an abundant number, since it is smaller than the sum of its proper divisors (111204146511360).

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

41249631536640 is a wasteful number, since it uses less digits than its factorization.

41249631536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829422 (or 829403 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 41249631536640 in words is "forty-one trillion, two hundred forty-nine billion, six hundred thirty-one million, five hundred thirty-six thousand, six hundred forty".