41001183216 has 240 divisors, whose sum is σ = 136073433600. Its totient is φ = 11276278272.

The previous prime is 41001183193. The next prime is 41001183233. The reversal of 41001183216 is 61238110014.

It is a happy number.

It is a super-2 number, since 2×41001183216² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41001183216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10492335 + ... + 10496241.

It is an arithmetic number, because the mean of its divisors is an integer number (566972640).

Almost surely, 2^41001183216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41001183216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68036716800).

41001183216 is an abundant number, since it is smaller than the sum of its proper divisors (95072250384).

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

41001183216 is a wasteful number, since it uses less digits than its factorization.

41001183216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316 (or 4307 counting only the distinct ones).

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

The spelling of 41001183216 in words is "forty-one billion, one million, one hundred eighty-three thousand, two hundred sixteen".