41642496 has 120 divisors (see below), whose sum is σ = 137458464. Its totient is φ = 11888640.

The previous prime is 41642483. The next prime is 41642507. The reversal of 41642496 is 69424614.

41642496 is a `hidden beast` number, since 4 + 1 + 642 + 4 + 9 + 6 = 666.

It is a super-2 number, since 2×41642496² = 3468194946220032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41642496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31611 + ... + 32901.

Almost surely, 2^41642496 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 41642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68729232).

41642496 is an abundant number, since it is smaller than the sum of its proper divisors (95815968).

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

41642496 is a wasteful number, since it uses less digits than its factorization.

41642496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1303 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 41642496 is about 6453.0997202895. The cubic root of 41642496 is about 346.6135881917.

The spelling of 41642496 in words is "forty-one million, six hundred forty-two thousand, four hundred ninety-six".