41261472 has 144 divisors (see below), whose sum is σ = 136124352. Its totient is φ = 11612160.

The previous prime is 41261459. The next prime is 41261477. The reversal of 41261472 is 27416214.

41261472 is a `hidden beast` number, since 41 + 2 + 614 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (41261477) 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, 195447 + ... + 195657.

It is an arithmetic number, because the mean of its divisors is an integer number (945308).

Almost surely, 2^41261472 is an apocalyptic number.

41261472 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 41261472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68062176).

41261472 is an abundant number, since it is smaller than the sum of its proper divisors (94862880).

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

41261472 is a wasteful number, since it uses less digits than its factorization.

41261472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 41261472 is about 6423.5093212356. The cubic root of 41261472 is about 345.5531893904.

Adding to 41261472 its reverse (27416214), we get a palindrome (68677686).

It can be divided in two parts, 412614 and 72, that added together give a triangular number (412686 = T₉₀₈).

The spelling of 41261472 in words is "forty-one million, two hundred sixty-one thousand, four hundred seventy-two".