41401564366200 has 192 divisors, whose sum is σ = 129186934007040. Its totient is φ = 10968037217280.

The previous prime is 41401564366187. The next prime is 41401564366207. The reversal of 41401564366200 is 266346510414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41401564366207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233946949 + ... + 234123851.

It is an arithmetic number, because the mean of its divisors is an integer number (672848614620).

Almost surely, 2^{41401564366200} is an apocalyptic number.

41401564366200 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 41401564366200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64593467003520).

41401564366200 is an abundant number, since it is smaller than the sum of its proper divisors (87785369640840).

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

41401564366200 is a wasteful number, since it uses less digits than its factorization.

41401564366200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179478 (or 179469 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 41401564366200 in words is "forty-one trillion, four hundred one billion, five hundred sixty-four million, three hundred sixty-six thousand, two hundred".