41082636672 has 512 divisors, whose sum is σ = 152003174400. Its totient is φ = 10612131840.

The previous prime is 41082636619. The next prime is 41082636677. The reversal of 41082636672 is 27663628014.

41082636672 is a `hidden beast` number, since 4 + 1 + 0 + 8 + 2 + 636 + 6 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41082636677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69987163 + ... + 69987749.

It is an arithmetic number, because the mean of its divisors is an integer number (296881200).

Almost surely, 2^41082636672 is an apocalyptic number.

41082636672 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 41082636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76001587200).

41082636672 is an abundant number, since it is smaller than the sum of its proper divisors (110920537728).

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

41082636672 is a wasteful number, since it uses less digits than its factorization.

41082636672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 41082636672 in words is "forty-one billion, eighty-two million, six hundred thirty-six thousand, six hundred seventy-two".