41990312000 has 224 divisors, whose sum is σ = 127988689920. Its totient is φ = 13289011200.

The previous prime is 41990311981. The next prime is 41990312009. The reversal of 41990312000 is 21309914.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (41990312009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699161 + ... + 756839.

It is an arithmetic number, because the mean of its divisors is an integer number (571378080).

Almost surely, 2^41990312000 is an apocalyptic number.

41990312000 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 41990312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63994344960).

41990312000 is an abundant number, since it is smaller than the sum of its proper divisors (85998377920).

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

41990312000 is a wasteful number, since it uses less digits than its factorization.

41990312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57726 (or 57706 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 41990312000 in words is "forty-one billion, nine hundred ninety million, three hundred twelve thousand".