41521818240 has 768 divisors, whose sum is σ = 174079825920. Its totient is φ = 9259536384.

The previous prime is 41521818199. The next prime is 41521818253. The reversal of 41521818240 is 4281812514.

41521818240 is a `hidden beast` number, since 415 + 21 + 8 + 182 + 40 = 666.

It is a super-2 number, since 2×41521818240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41521818195 and 41521818204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46811077 + ... + 46811963.

It is an arithmetic number, because the mean of its divisors is an integer number (226666440).

Almost surely, 2^41521818240 is an apocalyptic number.

41521818240 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 41521818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87039912960).

41521818240 is an abundant number, since it is smaller than the sum of its proper divisors (132558007680).

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

41521818240 is an equidigital number, since it uses as much as digits as its factorization.

41521818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 41521818240 in words is "forty-one billion, five hundred twenty-one million, eight hundred eighteen thousand, two hundred forty".