41814864 has 120 divisors (see below), whose sum is σ = 144074112. Its totient is φ = 11024640.

The previous prime is 41814863. The next prime is 41814869. The reversal of 41814864 is 46841814.

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 (41814863) 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, 11509 + ... + 14699.

Almost surely, 2^41814864 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 41814864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72037056).

41814864 is an abundant number, since it is smaller than the sum of its proper divisors (102259248).

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

41814864 is a wasteful number, since it uses less digits than its factorization.

41814864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3216 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 41814864 is about 6466.4413706458. The cubic root of 41814864 is about 347.0911680103.

It can be divided in two parts, 4181 and 4864, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 41814864 in words is "forty-one million, eight hundred fourteen thousand, eight hundred sixty-four".