41345864352 has 144 divisors (see below), whose sum is σ = 128148235488. Its totient is φ = 12568435200.

The previous prime is 41345864303. The next prime is 41345864353. The reversal of 41345864352 is 25346854314.

41345864352 is a `hidden beast` number, since 4 + 1 + 34 + 586 + 4 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 41345864298 and 41345864307.

It is not an unprimeable number, because it can be changed into a prime (41345864353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244227 + ... + 377277.

It is an arithmetic number, because the mean of its divisors is an integer number (889918302).

Almost surely, 2^41345864352 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 41345864352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64074117744).

41345864352 is an abundant number, since it is smaller than the sum of its proper divisors (86802371136).

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

41345864352 is a wasteful number, since it uses less digits than its factorization.

41345864352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133163 (or 133152 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 41345864352 in words is "forty-one billion, three hundred forty-five million, eight hundred sixty-four thousand, three hundred fifty-two".