41997312 has 264 divisors, whose sum is σ = 149349120. Its totient is φ = 11612160.

The previous prime is 41997301. The next prime is 41997317. The reversal of 41997312 is 21379914.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (41997317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354737 + ... + 1354767.

Almost surely, 2^41997312 is an apocalyptic number.

41997312 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 41997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74674560).

41997312 is an abundant number, since it is smaller than the sum of its proper divisors (107351808).

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

41997312 is a wasteful number, since it uses less digits than its factorization.

41997312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 43 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 41997312 is about 6480.5333113873. The cubic root of 41997312 is about 347.5952488069.

It can be divided in two parts, 4199 and 7312, that added together give a palindrome (11511).

The spelling of 41997312 in words is "forty-one million, nine hundred ninety-seven thousand, three hundred twelve".