41260032000 has 1008 divisors, whose sum is σ = 167917755096. Its totient is φ = 9732096000.

The previous prime is 41260031971. The next prime is 41260032031. The reversal of 41260032000 is 23006214.

It is a happy number.

41260032000 is a `hidden beast` number, since 41 + 2 + 600 + 3 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21236649984 + 20023382016 = 145728^2 + 141504^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1115135982 + ... + 1115136018.

Almost surely, 2^41260032000 is an apocalyptic number.

41260032000 is a gapful number since it is divisible by the number (40) 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 41260032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83958877548).

41260032000 is an abundant number, since it is smaller than the sum of its proper divisors (126657723096).

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

41260032000 is a wasteful number, since it uses less digits than its factorization.

41260032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 41260032000 its reverse (23006214), we get a palindrome (41283038214).

The spelling of 41260032000 in words is "forty-one billion, two hundred sixty million, thirty-two thousand".