41624432133066 has 120 divisors (see below), whose sum is σ = 95733325448640. Its totient is φ = 13517510402880.

The previous prime is 41624432133041. The next prime is 41624432133121. The reversal of 41624432133066 is 66033123442614.

It is a happy number.

41624432133066 is a `hidden beast` number, since 4 + 1 + 6 + 24 + 432 + 133 + 0 + 66 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 195693225 + ... + 195905811.

It is an arithmetic number, because the mean of its divisors is an integer number (797777712072).

Almost surely, 2^{41624432133066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41624432133066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47866662724320).

41624432133066 is an abundant number, since it is smaller than the sum of its proper divisors (54108893315574).

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

41624432133066 is a wasteful number, since it uses less digits than its factorization.

41624432133066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213402 (or 213352 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 41624432133066 in words is "forty-one trillion, six hundred twenty-four billion, four hundred thirty-two million, one hundred thirty-three thousand, sixty-six".