41004045003240 has 768 divisors, whose sum is σ = 150505496893440. Its totient is φ = 9594402048000.

The previous prime is 41004045003217. The next prime is 41004045003283. The reversal of 41004045003240 is 4230054040014.

It is a happy number.

41004045003240 is a `hidden beast` number, since 4 + 10 + 0 + 404 + 5 + 0 + 0 + 3 + 240 = 666.

It is a super-2 number, since 2×41004045003240² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10233101317 + ... + 10233105323.

It is an arithmetic number, because the mean of its divisors is an integer number (195970699080).

Almost surely, 2^{41004045003240} is an apocalyptic number.

41004045003240 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 41004045003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75252748446720).

41004045003240 is an abundant number, since it is smaller than the sum of its proper divisors (109501451890200).

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

41004045003240 is a wasteful number, since it uses less digits than its factorization.

41004045003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 41004045003240 its reverse (4230054040014), we get a palindrome (45234099043254).

The spelling of 41004045003240 in words is "forty-one trillion, four billion, forty-five million, three thousand, two hundred forty".