41365632 has 128 divisors (see below), whose sum is σ = 137088000. Its totient is φ = 10736640.

The previous prime is 41365627. The next prime is 41365633. The reversal of 41365632 is 23656314.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×41365632² = 3422231021518848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41365632.

It is not an unprimeable number, because it can be changed into a prime (41365633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28869 + ... + 30267.

It is an arithmetic number, because the mean of its divisors is an integer number (1071000).

Almost surely, 2^41365632 is an apocalyptic number.

41365632 is a gapful number since it is divisible by the number (42) 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 41365632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544000).

41365632 is an abundant number, since it is smaller than the sum of its proper divisors (95722368).

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

41365632 is a wasteful number, since it uses less digits than its factorization.

41365632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1422 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 41365632 is about 6431.6119285915. The cubic root of 41365632 is about 345.8437152671.

The spelling of 41365632 in words is "forty-one million, three hundred sixty-five thousand, six hundred thirty-two".