441465622065120 has 192 divisors, whose sum is σ = 1404414644705856. Its totient is φ = 116556135628800.

The previous prime is 441465622065113. The next prime is 441465622065137. The reversal of 441465622065120 is 21560226564144.

It is a super-2 number, since 2×441465622065120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 441465622065120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4463843512 + ... + 4463942408.

It is an arithmetic number, because the mean of its divisors is an integer number (7314659607843).

Almost surely, 2^{441465622065120} is an apocalyptic number.

441465622065120 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 441465622065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702207322352928).

441465622065120 is an abundant number, since it is smaller than the sum of its proper divisors (962949022640736).

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

441465622065120 is a wasteful number, since it uses less digits than its factorization.

441465622065120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191093 (or 191085 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 441465622065120 in words is "four hundred forty-one trillion, four hundred sixty-five billion, six hundred twenty-two million, sixty-five thousand, one hundred twenty".