41630976 has 144 divisors (see below), whose sum is σ = 129998400. Its totient is φ = 13105152.

The previous prime is 41630971. The next prime is 41630983. The reversal of 41630976 is 67903614.

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 a self number, because there is not a number n which added to its sum of digits gives 41630976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41630971) 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, 131170 + ... + 131486.

Almost surely, 2^41630976 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 41630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64999200).

41630976 is an abundant number, since it is smaller than the sum of its proper divisors (88367424).

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

41630976 is a wasteful number, since it uses less digits than its factorization.

41630976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 41630976 is about 6452.2070642533. The cubic root of 41630976 is about 346.5816227943.

The spelling of 41630976 in words is "forty-one million, six hundred thirty thousand, nine hundred seventy-six".