41871538800 has 1620 divisors, whose sum is σ = 197992562040. Its totient is φ = 8099481600.

The previous prime is 41871538789. The next prime is 41871538837. The reversal of 41871538800 is 883517814.

It is a happy number.

41871538800 is a `hidden beast` number, since 41 + 8 + 71 + 538 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×41871538800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1350694785 + ... + 1350694815.

Almost surely, 2^41871538800 is an apocalyptic number.

41871538800 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 41871538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98996281020).

41871538800 is an abundant number, since it is smaller than the sum of its proper divisors (156121023240).

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

41871538800 is a wasteful number, since it uses less digits than its factorization.

41871538800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 41871538800 in words is "forty-one billion, eight hundred seventy-one million, five hundred thirty-eight thousand, eight hundred".