41001321312 has 240 divisors, whose sum is σ = 143803199232. Its totient is φ = 11205216000.

The previous prime is 41001321311. The next prime is 41001321337. The reversal of 41001321312 is 21312310014.

It is a super-2 number, since 2×41001321312² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001321311) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 368187 + ... + 466437.

Almost surely, 2^41001321312 is an apocalyptic number.

41001321312 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 41001321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71901599616).

41001321312 is an abundant number, since it is smaller than the sum of its proper divisors (102801877920).

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

41001321312 is a wasteful number, since it uses less digits than its factorization.

41001321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98303 (or 98286 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 41001321312 its reverse (21312310014), we get a palindrome (62313631326).

The spelling of 41001321312 in words is "forty-one billion, one million, three hundred twenty-one thousand, three hundred twelve".