41345568 has 144 divisors (see below), whose sum is σ = 132717312. Its totient is φ = 12096000.

The previous prime is 41345567. The next prime is 41345587. The reversal of 41345568 is 86554314.

41345568 = T₃₁₂ + T₃₁₃ + ... + T₆₅₂.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41345567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97998 + ... + 98418.

It is an arithmetic number, because the mean of its divisors is an integer number (921648).

Almost surely, 2^41345568 is an apocalyptic number.

41345568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41345568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66358656).

41345568 is an abundant number, since it is smaller than the sum of its proper divisors (91371744).

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

41345568 is a wasteful number, since it uses less digits than its factorization.

41345568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 41345568 is about 6430.0519438026. The cubic root of 41345568 is about 345.7877901737.

The spelling of 41345568 in words is "forty-one million, three hundred forty-five thousand, five hundred sixty-eight".