41209408000 has 160 divisors (see below), whose sum is σ = 104705686800. Its totient is φ = 16171417600.

The previous prime is 41209407989. The next prime is 41209408003. The reversal of 41209408000 is 80490214.

It can be written as a sum of positive squares in 8 ways, for example, as 14045094144 + 27164313856 = 118512^2 + 164816^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 41209408000.

It is not an unprimeable number, because it can be changed into a prime (41209408003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3385926 + ... + 3398074.

Almost surely, 2^41209408000 is an apocalyptic number.

41209408000 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 41209408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52352843400).

41209408000 is an abundant number, since it is smaller than the sum of its proper divisors (63496278800).

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

41209408000 is an equidigital number, since it uses as much as digits as its factorization.

41209408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12235 (or 12209 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 41209408000 its reverse (80490214), we get a palindrome (41289898214).

The spelling of 41209408000 in words is "forty-one billion, two hundred nine million, four hundred eight thousand".