41827242240 has 576 divisors, whose sum is σ = 173811294720. Its totient is φ = 9325117440.

The previous prime is 41827242239. The next prime is 41827242263. The reversal of 41827242240 is 4224272814.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 41827242195 and 41827242204.

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, 9916612 + ... + 9920828.

It is an arithmetic number, because the mean of its divisors is an integer number (301755720).

Almost surely, 2^41827242240 is an apocalyptic number.

41827242240 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 41827242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86905647360).

41827242240 is an abundant number, since it is smaller than the sum of its proper divisors (131984052480).

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

41827242240 is a wasteful number, since it uses less digits than its factorization.

41827242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 41827242240 in words is "forty-one billion, eight hundred twenty-seven million, two hundred forty-two thousand, two hundred forty".