41829261312 has 224 divisors, whose sum is σ = 115675513632. Its totient is φ = 13433831424.

The previous prime is 41829261283. The next prime is 41829261337. The reversal of 41829261312 is 21316292814.

It is a super-2 number, since 2×41829261312² (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, 142761838 + ... + 142762130.

It is an arithmetic number, because the mean of its divisors is an integer number (516408543).

Almost surely, 2^41829261312 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 41829261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57837756816).

41829261312 is an abundant number, since it is smaller than the sum of its proper divisors (73846252320).

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

41829261312 is a wasteful number, since it uses less digits than its factorization.

41829261312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 492 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The spelling of 41829261312 in words is "forty-one billion, eight hundred twenty-nine million, two hundred sixty-one thousand, three hundred twelve".