41681952 has 120 divisors (see below), whose sum is σ = 132121836. Its totient is φ = 12814848.

The previous prime is 41681951. The next prime is 41681963. The reversal of 41681952 is 25918614.

It can be written as a sum of positive squares in 2 ways, for example, as 41525136 + 156816 = 6444^2 + 396^2 .

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 (41681951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33078 + ... + 34314.

Almost surely, 2^41681952 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 41681952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66060918).

41681952 is an abundant number, since it is smaller than the sum of its proper divisors (90439884).

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

41681952 is a wasteful number, since it uses less digits than its factorization.

41681952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1255 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 41681952 is about 6456.1561319410. The cubic root of 41681952 is about 346.7230250252.

The spelling of 41681952 in words is "forty-one million, six hundred eighty-one thousand, nine hundred fifty-two".