41001012 has 192 divisors, whose sum is σ = 127008000. Its totient is φ = 11321856.

The previous prime is 41001011. The next prime is 41001013. The reversal of 41001012 is 21010014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41001011) and next prime (41001013).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 41000985 and 41001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 773578 + ... + 773630.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 2^41001012 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 41001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

41001012 is an abundant number, since it is smaller than the sum of its proper divisors (86006988).

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

41001012 is a wasteful number, since it uses less digits than its factorization.

41001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 41001012 is about 6403.2032608687. The cubic root of 41001012 is about 344.8245610847.

Adding to 41001012 its reverse (21010014), we get a palindrome (62011026).

The spelling of 41001012 in words is "forty-one million, one thousand, twelve".