41429336328 has 192 divisors, whose sum is σ = 125230734720. Its totient is φ = 12783744000.

The previous prime is 41429336303. The next prime is 41429336381. The reversal of 41429336328 is 82363392414.

41429336328 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 9 + 3 + 3 + 632 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2005653 + ... + 2026203.

It is an arithmetic number, because the mean of its divisors is an integer number (652243410).

Almost surely, 2^41429336328 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 41429336328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62615367360).

41429336328 is an abundant number, since it is smaller than the sum of its proper divisors (83801398392).

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

41429336328 is a wasteful number, since it uses less digits than its factorization.

41429336328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20650 (or 20634 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 41429336328 in words is "forty-one billion, four hundred twenty-nine million, three hundred thirty-six thousand, three hundred twenty-eight".