441525450212000 has 768 divisors, whose sum is σ = 1392707846799360. Its totient is φ = 133547982336000.

The previous prime is 441525450211931. The next prime is 441525450212051. The reversal of 441525450212000 is 212054525144.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4364617421 + ... + 4364718579.

It is an arithmetic number, because the mean of its divisors is an integer number (1813421675520).

Almost surely, 2^{441525450212000} is an apocalyptic number.

441525450212000 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 441525450212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696353923399680).

441525450212000 is an abundant number, since it is smaller than the sum of its proper divisors (951182396587360).

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

441525450212000 is a wasteful number, since it uses less digits than its factorization.

441525450212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101622 (or 101604 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

The spelling of 441525450212000 in words is "four hundred forty-one trillion, five hundred twenty-five billion, four hundred fifty million, two hundred twelve thousand".