41443530240 has 640 divisors, whose sum is σ = 161981918208. Its totient is φ = 8823767040.

The previous prime is 41443530229. The next prime is 41443530259. The reversal of 41443530240 is 4203534414.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 41443530198 and 41443530207.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 125206875 + ... + 125207205.

Almost surely, 2^41443530240 is an apocalyptic number.

41443530240 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 41443530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80990959104).

41443530240 is an abundant number, since it is smaller than the sum of its proper divisors (120538387968).

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

41443530240 is a wasteful number, since it uses less digits than its factorization.

41443530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 41443530240 in words is "forty-one billion, four hundred forty-three million, five hundred thirty thousand, two hundred forty".