41115667261200 has 240 divisors, whose sum is σ = 154023024562176. Its totient is φ = 9179311680000.

The previous prime is 41115667261187. The next prime is 41115667261223. The reversal of 41115667261200 is 216276651114.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56554176 + ... + 57276575.

Almost surely, 2^{41115667261200} is an apocalyptic number.

41115667261200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41115667261200 is an abundant number, since it is smaller than the sum of its proper divisors (112907357300976).

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

41115667261200 is a wasteful number, since it uses less digits than its factorization.

41115667261200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113830822 (or 113830811 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 41115667261200 in words is "forty-one trillion, one hundred fifteen billion, six hundred sixty-seven million, two hundred sixty-one thousand, two hundred".