41524134240 has 192 divisors, whose sum is σ = 132630220800. Its totient is φ = 10919245824.

The previous prime is 41524134221. The next prime is 41524134241. The reversal of 41524134240 is 4243142514.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41524134198 and 41524134207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41524134241) 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 31 ways as a sum of consecutive naturals, for example, 11665581 + ... + 11669139.

It is an arithmetic number, because the mean of its divisors is an integer number (690782400).

Almost surely, 2^41524134240 is an apocalyptic number.

41524134240 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 41524134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66315110400).

41524134240 is an abundant number, since it is smaller than the sum of its proper divisors (91106086560).

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

41524134240 is a wasteful number, since it uses less digits than its factorization.

41524134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 41524134240 its reverse (4243142514), we get a palindrome (45767276754).

The spelling of 41524134240 in words is "forty-one billion, five hundred twenty-four million, one hundred thirty-four thousand, two hundred forty".