41306496 has 192 divisors, whose sum is σ = 138915840. Its totient is φ = 10644480.

The previous prime is 41306479. The next prime is 41306497. The reversal of 41306496 is 69460314.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×41306496² = 3412453223596032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41306497) 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, 325185 + ... + 325311.

It is an arithmetic number, because the mean of its divisors is an integer number (723520).

Almost surely, 2^41306496 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 41306496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69457920).

41306496 is an abundant number, since it is smaller than the sum of its proper divisors (97609344).

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

41306496 is a wasteful number, since it uses less digits than its factorization.

41306496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 41306496 is about 6427.0129920516. The cubic root of 41306496 is about 345.6788314685.

The spelling of 41306496 in words is "forty-one million, three hundred six thousand, four hundred ninety-six".