41364032346 has 320 divisors, whose sum is σ = 122163148800. Its totient is φ = 10155798144.

The previous prime is 41364032321. The next prime is 41364032371. The reversal of 41364032346 is 64323046314.

41364032346 is a `hidden beast` number, since 4 + 1 + 3 + 640 + 3 + 2 + 3 + 4 + 6 = 666.

41364032346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41364032321) and next prime (41364032371).

It is a self number, because there is not a number n which added to its sum of digits gives 41364032346.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16524531 + ... + 16527033.

It is an arithmetic number, because the mean of its divisors is an integer number (381759840).

Almost surely, 2^41364032346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41364032346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61081574400).

41364032346 is an abundant number, since it is smaller than the sum of its proper divisors (80799116454).

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

41364032346 is a wasteful number, since it uses less digits than its factorization.

41364032346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 41364032346 in words is "forty-one billion, three hundred sixty-four million, thirty-two thousand, three hundred forty-six".