41871686400 has 810 divisors, whose sum is σ = 161812963620. Its totient is φ = 10679869440.

The previous prime is 41871686393. The next prime is 41871686401. The reversal of 41871686400 is 468617814.

41871686400 is a `hidden beast` number, since 4 + 1 + 87 + 168 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (810).

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

It is not an unprimeable number, because it can be changed into a prime (41871686401) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 709689571 + ... + 709689629.

Almost surely, 2^41871686400 is an apocalyptic number.

41871686400 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 41871686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80906481810).

41871686400 is an abundant number, since it is smaller than the sum of its proper divisors (119941277220).

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

41871686400 is an equidigital number, since it uses as much as digits as its factorization.

41871686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 41871686400 in words is "forty-one billion, eight hundred seventy-one million, six hundred eighty-six thousand, four hundred".