41633552115540 has 288 divisors, whose sum is σ = 157457404016640. Its totient is φ = 8650749715200.

The previous prime is 41633552115521. The next prime is 41633552115553. The reversal of 41633552115540 is 4551125533614.

It is a happy number.

41633552115540 is a `hidden beast` number, since 4 + 1 + 6 + 3 + 3 + 552 + 1 + 1 + 55 + 40 = 666.

41633552115540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 409248801 + ... + 409350519.

It is an arithmetic number, because the mean of its divisors is an integer number (546727097280).

Almost surely, 2^{41633552115540} 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 41633552115540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78728702008320).

41633552115540 is an abundant number, since it is smaller than the sum of its proper divisors (115823851901100).

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

41633552115540 is a wasteful number, since it uses less digits than its factorization.

41633552115540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131283 (or 131278 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 41633552115540 in words is "forty-one trillion, six hundred thirty-three billion, five hundred fifty-two million, one hundred fifteen thousand, five hundred forty".