41002302240 has 144 divisors (see below), whose sum is σ = 139985609400. Its totient is φ = 10928848896.

The previous prime is 41002302221. The next prime is 41002302269. The reversal of 41002302240 is 4220320014.

41002302240 is a `hidden beast` number, since 410 + 0 + 2 + 30 + 224 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13224080016 + 27778222224 = 114996^2 + 166668^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3866866 + ... + 3877454.

Almost surely, 2^41002302240 is an apocalyptic number.

41002302240 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 41002302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69992804700).

41002302240 is an abundant number, since it is smaller than the sum of its proper divisors (98983307160).

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

41002302240 is a wasteful number, since it uses less digits than its factorization.

41002302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13299 (or 13288 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 41002302240 its reverse (4220320014), we get a palindrome (45222622254).

The spelling of 41002302240 in words is "forty-one billion, two million, three hundred two thousand, two hundred forty".