41252640 has 192 divisors, whose sum is σ = 152917632. Its totient is φ = 9216000.

The previous prime is 41252621. The next prime is 41252641. The reversal of 41252640 is 4625214.

41252640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41252640.

It is not an unprimeable number, because it can be changed into a prime (41252641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68340 + ... + 68940.

It is an arithmetic number, because the mean of its divisors is an integer number (796446).

Almost surely, 2^41252640 is an apocalyptic number.

41252640 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 41252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76458816).

41252640 is an abundant number, since it is smaller than the sum of its proper divisors (111664992).

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

41252640 is a wasteful number, since it uses less digits than its factorization.

41252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 41252640 is about 6422.8218097655. The cubic root of 41252640 is about 345.5285324614.

Adding to 41252640 its reverse (4625214), we get a palindrome (45877854).

It can be divided in two parts, 4125 and 2640, that multiplied together give a square (10890000 = 3300²).

The spelling of 41252640 in words is "forty-one million, two hundred fifty-two thousand, six hundred forty".