41144334134040 has 192 divisors, whose sum is σ = 134361793612800. Its totient is φ = 10919212978176.

The previous prime is 41144334134011. The next prime is 41144334134069. The reversal of 41144334134040 is 4043143344114.

41144334134040 is a `hidden beast` number, since 4 + 11 + 443 + 34 + 134 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (41144334134011) and next prime (41144334134069).

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

It is a junction number, because it is equal to n+sod(n) for n = 41144334133986 and 41144334134004.

It is a congruent number.

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, 62684676 + ... + 63337644.

It is an arithmetic number, because the mean of its divisors is an integer number (699801008400).

Almost surely, 2^{41144334134040} is an apocalyptic number.

41144334134040 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 41144334134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67180896806400).

41144334134040 is an abundant number, since it is smaller than the sum of its proper divisors (93217459478760).

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

41144334134040 is a wasteful number, since it uses less digits than its factorization.

41144334134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653826 (or 653819 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 41144334134040 its reverse (4043143344114), we get a palindrome (45187477478154).

The spelling of 41144334134040 in words is "forty-one trillion, one hundred forty-four billion, three hundred thirty-four million, one hundred thirty-four thousand, forty".