41002133312 has 112 divisors (see below), whose sum is σ = 97472065152. Its totient is φ = 16744734720.

The previous prime is 41002133299. The next prime is 41002133369. The reversal of 41002133312 is 21333120014.

41002133312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×41002133312² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763868 + ... + 815780.

It is an arithmetic number, because the mean of its divisors is an integer number (870286296).

Almost surely, 2^41002133312 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 41002133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48736032576).

41002133312 is an abundant number, since it is smaller than the sum of its proper divisors (56469931840).

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

41002133312 is a wasteful number, since it uses less digits than its factorization.

41002133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52016 (or 52006 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 41002133312 its reverse (21333120014), we get a palindrome (62335253326).

The spelling of 41002133312 in words is "forty-one billion, two million, one hundred thirty-three thousand, three hundred twelve".