41364288 has 84 divisors (see below), whose sum is σ = 135514080. Its totient is φ = 11817216.

The previous prime is 41364269. The next prime is 41364293. The reversal of 41364288 is 88246314.

41364288 is a `hidden beast` number, since 4 + 1 + 3 + 642 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×41364288² = 3422008643493888, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1098 + ... + 9161.

Almost surely, 2^41364288 is an apocalyptic number.

41364288 is a gapful number since it is divisible by the number (48) 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 41364288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67757040).

41364288 is an abundant number, since it is smaller than the sum of its proper divisors (94149792).

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

41364288 is a wasteful number, since it uses less digits than its factorization.

41364288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10284 (or 10271 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 41364288 is about 6431.5074438268. The cubic root of 41364288 is about 345.8399696538.

The spelling of 41364288 in words is "forty-one million, three hundred sixty-four thousand, two hundred eighty-eight".