41016280032 has 288 divisors, whose sum is σ = 144039010752. Its totient is φ = 10781171712.

The previous prime is 41016280021. The next prime is 41016280051. The reversal of 41016280032 is 23008261014.

41016280032 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 628 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 41016279978 and 41016280005.

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, 8305468 + ... + 8310404.

It is an arithmetic number, because the mean of its divisors is an integer number (500135454).

Almost surely, 2^41016280032 is an apocalyptic number.

41016280032 is a gapful number since it is divisible by the number (42) 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 41016280032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72019505376).

41016280032 is an abundant number, since it is smaller than the sum of its proper divisors (103022730720).

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

41016280032 is a wasteful number, since it uses less digits than its factorization.

41016280032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 41016280032 in words is "forty-one billion, sixteen million, two hundred eighty thousand, thirty-two".