41405952 has 80 divisors (see below), whose sum is σ = 126099072. Its totient is φ = 11827200.

The previous prime is 41405951. The next prime is 41405963. The reversal of 41405952 is 25950414.

It is a super-2 number, since 2×41405952² = 3428905722052608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41405951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8827 + ... + 12677.

Almost surely, 2^41405952 is an apocalyptic number.

41405952 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 41405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63049536).

41405952 is an abundant number, since it is smaller than the sum of its proper divisors (84693120).

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

41405952 is an equidigital number, since it uses as much as digits as its factorization.

41405952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 41405952 is about 6434.7456826203. The cubic root of 41405952 is about 345.9560459608.

The spelling of 41405952 in words is "forty-one million, four hundred five thousand, nine hundred fifty-two".