41166235828224 has 816 divisors, whose sum is σ = 130925735583552. Its totient is φ = 12387323215872.

The previous prime is 41166235828217. The next prime is 41166235828231. The reversal of 41166235828224 is 42282853266114.

41166235828224 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 6 + 2 + 358 + 282 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (41166235828217) and next prime (41166235828231).

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, 116618231632 + ... + 116618231984.

It is an arithmetic number, because the mean of its divisors is an integer number (160448205372).

Almost surely, 2^{41166235828224} 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 41166235828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65462867791776).

41166235828224 is an abundant number, since it is smaller than the sum of its proper divisors (89759499755328).

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

41166235828224 is a wasteful number, since it uses less digits than its factorization.

41166235828224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 665 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 41166235828224 in words is "forty-one trillion, one hundred sixty-six billion, two hundred thirty-five million, eight hundred twenty-eight thousand, two hundred twenty-four".