41354004000 has 192 divisors, whose sum is σ = 135692444160. Its totient is φ = 11010099200.

The previous prime is 41354003969. The next prime is 41354004001. The reversal of 41354004000 is 40045314.

It is not an unprimeable number, because it can be changed into a prime (41354004001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8625604 + ... + 8630396.

It is an arithmetic number, because the mean of its divisors is an integer number (706731480).

Almost surely, 2^41354004000 is an apocalyptic number.

41354004000 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 41354004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67846222080).

41354004000 is an abundant number, since it is smaller than the sum of its proper divisors (94338440160).

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

41354004000 is a wasteful number, since it uses less digits than its factorization.

41354004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 41354004000 its reverse (40045314), we get a palindrome (41394049314).

The spelling of 41354004000 in words is "forty-one billion, three hundred fifty-four million, four thousand".