441420050550120 has 256 divisors, whose sum is σ = 1394877141504000. Its totient is φ = 111443143680000.

The previous prime is 441420050549953. The next prime is 441420050550163. The reversal of 441420050550120 is 21055050024144.

It is a happy number.

It is a super-2 number, since 2×441420050550120² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28796394616 + ... + 28796409944.

It is an arithmetic number, because the mean of its divisors is an integer number (5448738834000).

Almost surely, 2^{441420050550120} is an apocalyptic number.

441420050550120 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 441420050550120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697438570752000).

441420050550120 is an abundant number, since it is smaller than the sum of its proper divisors (953457090953880).

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

441420050550120 is a wasteful number, since it uses less digits than its factorization.

441420050550120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22864 (or 22860 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 441420050550120 in words is "four hundred forty-one trillion, four hundred twenty billion, fifty million, five hundred fifty thousand, one hundred twenty".