41352864 has 144 divisors (see below), whose sum is σ = 129276000. Its totient is φ = 11536896.

The previous prime is 41352863. The next prime is 41352877. The reversal of 41352864 is 46825314.

It is a super-2 number, since 2×41352864² = 3420118722004992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41352863) 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, 277462 + ... + 277610.

It is an arithmetic number, because the mean of its divisors is an integer number (897750).

Almost surely, 2^41352864 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 41352864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64638000).

41352864 is an abundant number, since it is smaller than the sum of its proper divisors (87923136).

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

41352864 is a wasteful number, since it uses less digits than its factorization.

41352864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 41352864 is about 6430.6192547841. The cubic root of 41352864 is about 345.8081286642.

The spelling of 41352864 in words is "forty-one million, three hundred fifty-two thousand, eight hundred sixty-four".