441843129000000 has 2352 divisors, whose sum is σ = 1973332491020800. Its totient is φ = 92030515200000.

The previous prime is 441843128999929. The next prime is 441843129000041. The reversal of 441843129000000 is 921348144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 64700996586 + ... + 64701003414.

Almost surely, 2^{441843129000000} is an apocalyptic number.

441843129000000 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 441843129000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986666245510400).

441843129000000 is an abundant number, since it is smaller than the sum of its proper divisors (1531489362020800).

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

441843129000000 is an equidigital number, since it uses as much as digits as its factorization.

441843129000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6976 (or 6938 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 441843129000000 in words is "four hundred forty-one trillion, eight hundred forty-three billion, one hundred twenty-nine million", and thus it is an aban number.