41181200105472 has 960 divisors, whose sum is σ = 151645634058240. Its totient is φ = 10774130982912.

The previous prime is 41181200105467. The next prime is 41181200105477. The reversal of 41181200105472 is 27450100218114.

41181200105472 is a `hidden beast` number, since 4 + 1 + 1 + 81 + 2 + 0 + 0 + 105 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (41181200105467) and next prime (41181200105477).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41181200105477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1947735733 + ... + 1947756875.

It is an arithmetic number, because the mean of its divisors is an integer number (157964202144).

Almost surely, 2^{41181200105472} is an apocalyptic number.

41181200105472 is a gapful number since it is divisible by the number (42) 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 41181200105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75822817029120).

41181200105472 is an abundant number, since it is smaller than the sum of its proper divisors (110464433952768).

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

41181200105472 is a wasteful number, since it uses less digits than its factorization.

41181200105472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21241 (or 21209 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 41181200105472 in words is "forty-one trillion, one hundred eighty-one billion, two hundred million, one hundred five thousand, four hundred seventy-two".