41523840 has 224 divisors, whose sum is σ = 150506100. Its totient is φ = 10948608.

The previous prime is 41523829. The next prime is 41523841. The reversal of 41523840 is 4832514.

It can be written as a sum of positive squares in 2 ways, for example, as 39237696 + 2286144 = 6264^2 + 1512^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41523841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466516 + ... + 466604.

Almost surely, 2^41523840 is an apocalyptic number.

41523840 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 41523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75253050).

41523840 is an abundant number, since it is smaller than the sum of its proper divisors (108982260).

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

41523840 is an frugal number, since it uses more digits than its factorization.

41523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 41523840 is about 6443.8994405562. The cubic root of 41523840 is about 346.2840617788.

The spelling of 41523840 in words is "forty-one million, five hundred twenty-three thousand, eight hundred forty".