41806082400 has 144 divisors (see below), whose sum is σ = 137118598848. Its totient is φ = 11063104000.

The previous prime is 41806082387. The next prime is 41806082419. The reversal of 41806082400 is 428060814.

41806082400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247915 + ... + 380885.

It is an arithmetic number, because the mean of its divisors is an integer number (952212492).

Almost surely, 2^41806082400 is an apocalyptic number.

41806082400 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 41806082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68559299424).

41806082400 is an abundant number, since it is smaller than the sum of its proper divisors (95312516448).

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

41806082400 is a wasteful number, since it uses less digits than its factorization.

41806082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133125 (or 133112 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 41806082400 in words is "forty-one billion, eight hundred six million, eighty-two thousand, four hundred".