41419008000 has 288 divisors, whose sum is σ = 149301177480. Its totient is φ = 11044454400.

The previous prime is 41419007969. The next prime is 41419008091. The reversal of 41419008000 is 80091414.

It can be written as a sum of positive squares in 4 ways, for example, as 12251833344 + 29167174656 = 110688^2 + 170784^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 2295012 + ... + 2312988.

Almost surely, 2^41419008000 is an apocalyptic number.

41419008000 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 41419008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74650588740).

41419008000 is an abundant number, since it is smaller than the sum of its proper divisors (107882169480).

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

41419008000 is a wasteful number, since it uses less digits than its factorization.

41419008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18020 (or 17987 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 41419008000 its reverse (80091414), we get a palindrome (41499099414).

The spelling of 41419008000 in words is "forty-one billion, four hundred nineteen million, eight thousand".