41181943166400 has 672 divisors, whose sum is σ = 138534163246080. Its totient is φ = 10707204096000.

The previous prime is 41181943166383. The next prime is 41181943166401. The reversal of 41181943166400 is 466134918114.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41181943166400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41181943166401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19234909330 + ... + 19234911470.

It is an arithmetic number, because the mean of its divisors is an integer number (206152028640).

Almost surely, 2^{41181943166400} is an apocalyptic number.

41181943166400 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 41181943166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69267081623040).

41181943166400 is an abundant number, since it is smaller than the sum of its proper divisors (97352220079680).

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

41181943166400 is a wasteful number, since it uses less digits than its factorization.

41181943166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 41181943166400 in words is "forty-one trillion, one hundred eighty-one billion, nine hundred forty-three million, one hundred sixty-six thousand, four hundred".