41481631800 has 288 divisors, whose sum is σ = 159457428000. Its totient is φ = 9466813440.

The previous prime is 41481631799. The next prime is 41481631843. The reversal of 41481631800 is 813618414.

It is a happy number.

41481631800 is a `hidden beast` number, since 4 + 14 + 8 + 1 + 631 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9536026 + ... + 9540374.

It is an arithmetic number, because the mean of its divisors is an integer number (553671625).

Almost surely, 2^41481631800 is an apocalyptic number.

41481631800 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 41481631800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79728714000).

41481631800 is an abundant number, since it is smaller than the sum of its proper divisors (117975796200).

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

41481631800 is a wasteful number, since it uses less digits than its factorization.

41481631800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 41481631800 in words is "forty-one billion, four hundred eighty-one million, six hundred thirty-one thousand, eight hundred".