41481639936 has 288 divisors, whose sum is σ = 131967435600. Its totient is φ = 12448235520.

The previous prime is 41481639931. The next prime is 41481640063. The reversal of 41481639936 is 63993618414.

41481639936 is a `hidden beast` number, since 41 + 481 + 6 + 3 + 99 + 36 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41481639931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22099030 + ... + 22100906.

Almost surely, 2^41481639936 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 41481639936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65983717800).

41481639936 is an abundant number, since it is smaller than the sum of its proper divisors (90485795664).

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

41481639936 is a wasteful number, since it uses less digits than its factorization.

41481639936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2002 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 41481639936 in words is "forty-one billion, four hundred eighty-one million, six hundred thirty-nine thousand, nine hundred thirty-six".