41257314 has 72 divisors (see below), whose sum is σ = 107637660. Its totient is φ = 11374272.

The previous prime is 41257313. The next prime is 41257369. The reversal of 41257314 is 41375214.

It can be written as a sum of positive squares in 2 ways, for example, as 41024025 + 233289 = 6405^2 + 483^2 .

It is not an unprimeable number, because it can be changed into a prime (41257313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24772 + ... + 26384.

Almost surely, 2^41257314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41257314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53818830).

41257314 is an abundant number, since it is smaller than the sum of its proper divisors (66380346).

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

41257314 is a wasteful number, since it uses less digits than its factorization.

41257314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1654 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 41257314 is about 6423.1856582229. The cubic root of 41257314 is about 345.5415816414.

The spelling of 41257314 in words is "forty-one million, two hundred fifty-seven thousand, three hundred fourteen".