41284672 has 84 divisors (see below), whose sum is σ = 97054416. Its totient is φ = 17272320.

The previous prime is 41284669. The next prime is 41284679. The reversal of 41284672 is 27648214.

It is a happy number.

It is a super-3 number, since 3×41284672³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (41284679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118803 + ... + 119149.

Almost surely, 2^41284672 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 41284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48527208).

41284672 is an abundant number, since it is smaller than the sum of its proper divisors (55769744).

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

41284672 is a wasteful number, since it uses less digits than its factorization.

41284672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 373 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 41284672 is about 6425.3149339157. The cubic root of 41284672 is about 345.6179417412.

The spelling of 41284672 in words is "forty-one million, two hundred eighty-four thousand, six hundred seventy-two".