41014012000 has 192 divisors, whose sum is σ = 108883704384. Its totient is φ = 15093350400.

The previous prime is 41014011947. The next prime is 41014012003. The reversal of 41014012000 is 21041014.

It is a super-2 number, since 2×41014012000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41014012003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18042864 + ... + 18045136.

It is an arithmetic number, because the mean of its divisors is an integer number (567102627).

Almost surely, 2^41014012000 is an apocalyptic number.

41014012000 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 41014012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54441852192).

41014012000 is an abundant number, since it is smaller than the sum of its proper divisors (67869692384).

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

41014012000 is a wasteful number, since it uses less digits than its factorization.

41014012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 41014012000 its reverse (21041014), we get a palindrome (41035053014).

The spelling of 41014012000 in words is "forty-one billion, fourteen million, twelve thousand".