41305524240 has 320 divisors, whose sum is σ = 146582403840. Its totient is φ = 9555148800.

The previous prime is 41305524233. The next prime is 41305524307. The reversal of 41305524240 is 4242550314.

It is a super-2 number, since 2×41305524240² (a number of 22 digits) contains 22 as substring.

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 = 41305524198 and 41305524207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2861040 + ... + 2875440.

It is an arithmetic number, because the mean of its divisors is an integer number (458070012).

Almost surely, 2^41305524240 is an apocalyptic number.

41305524240 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 41305524240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73291201920).

41305524240 is an abundant number, since it is smaller than the sum of its proper divisors (105276879600).

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

41305524240 is a wasteful number, since it uses less digits than its factorization.

41305524240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14490 (or 14484 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 41305524240 in words is "forty-one billion, three hundred five million, five hundred twenty-four thousand, two hundred forty".