41364960 has 192 divisors, whose sum is σ = 160538112. Its totient is φ = 8718336.

The previous prime is 41364949. The next prime is 41364997. The reversal of 41364960 is 6946314.

It is a super-3 number, since 3×41364960³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43207 + ... + 44153.

It is an arithmetic number, because the mean of its divisors is an integer number (836136).

Almost surely, 2^41364960 is an apocalyptic number.

41364960 is a gapful number since it is divisible by the number (40) 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 41364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80269056).

41364960 is an abundant number, since it is smaller than the sum of its proper divisors (119173152).

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

41364960 is a wasteful number, since it uses less digits than its factorization.

41364960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 41364960 is about 6431.5596864213. The cubic root of 41364960 is about 345.8418424706.

It can be divided in two parts, 41364 and 960, that added together give a palindrome (42324).

The spelling of 41364960 in words is "forty-one million, three hundred sixty-four thousand, nine hundred sixty".