41411440000 has 320 divisors, whose sum is σ = 119550356640. Its totient is φ = 13989888000.

The previous prime is 41411439989. The next prime is 41411440001. The reversal of 41411440000 is 4411414.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 41411440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41411440001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 40879494 + ... + 40880506.

Almost surely, 2^41411440000 is an apocalyptic number.

41411440000 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 41411440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59775178320).

41411440000 is an abundant number, since it is smaller than the sum of its proper divisors (78138916640).

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

41411440000 is an equidigital number, since it uses as much as digits as its factorization.

41411440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 41411440000 its reverse (4411414), we get a palindrome (41415851414).

The spelling of 41411440000 in words is "forty-one billion, four hundred eleven million, four hundred forty thousand".