41012442440100 has 216 divisors, whose sum is σ = 131386068253440. Its totient is φ = 10695826851840.

The previous prime is 41012442440087. The next prime is 41012442440113. The reversal of 41012442440100 is 104424421014.

It is a happy number.

41012442440100 is a `hidden beast` number, since 4 + 10 + 1 + 244 + 2 + 4 + 401 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41012442440087) and next prime (41012442440113).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55426164 + ... + 56161236.

Almost surely, 2^{41012442440100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41012442440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65693034126720).

41012442440100 is an abundant number, since it is smaller than the sum of its proper divisors (90373625813340).

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

41012442440100 is a wasteful number, since it uses less digits than its factorization.

41012442440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736459 (or 736449 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 41012442440100 its reverse (104424421014), we get a palindrome (41116866861114).

The spelling of 41012442440100 in words is "forty-one trillion, twelve billion, four hundred forty-two million, four hundred forty thousand, one hundred".