41082216000 has 448 divisors, whose sum is σ = 156692949504. Its totient is φ = 9289728000.

The previous prime is 41082215959. The next prime is 41082216047. The reversal of 41082216000 is 61228014.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16294740 + ... + 16297260.

It is an arithmetic number, because the mean of its divisors is an integer number (349761048).

Almost surely, 2^41082216000 is an apocalyptic number.

41082216000 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 41082216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78346474752).

41082216000 is an abundant number, since it is smaller than the sum of its proper divisors (115610733504).

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

41082216000 is a wasteful number, since it uses less digits than its factorization.

41082216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 41082216000 in words is "forty-one billion, eighty-two million, two hundred sixteen thousand".