41412332000000 has 252 divisors, whose sum is σ = 111275692215408. Its totient is φ = 15290688000000.

The previous prime is 41412331999993. The next prime is 41412332000003. The reversal of 41412332000000 is 23321414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (41412332000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 51601805 + ... + 52398195.

It is an arithmetic number, because the mean of its divisors is an integer number (441570207204).

Almost surely, 2^{41412332000000} is an apocalyptic number.

41412332000000 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 41412332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55637846107704).

41412332000000 is an abundant number, since it is smaller than the sum of its proper divisors (69863360215408).

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

41412332000000 is an frugal number, since it uses more digits than its factorization.

41412332000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796450 (or 796411 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 41412332000000 its reverse (23321414), we get a palindrome (41412355321414).

The spelling of 41412332000000 in words is "forty-one trillion, four hundred twelve billion, three hundred thirty-two million", and thus it is an aban number.