41001840000 has 960 divisors, whose sum is σ = 167022535680. Its totient is φ = 9561600000.

The previous prime is 41001839981. The next prime is 41001840013. The reversal of 41001840000 is 4810014.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 245519917 + ... + 245520083.

It is an arithmetic number, because the mean of its divisors is an integer number (173981808).

Almost surely, 2^41001840000 is an apocalyptic number.

41001840000 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 41001840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83511267840).

41001840000 is an abundant number, since it is smaller than the sum of its proper divisors (126020695680).

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

41001840000 is a wasteful number, since it uses less digits than its factorization.

41001840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 41001840000 in words is "forty-one billion, one million, eight hundred forty thousand".