441158145120 has 768 divisors, whose sum is σ = 1938023055360. Its totient is φ = 91051776000.

The previous prime is 441158145067. The next prime is 441158145143. The reversal of 441158145120 is 21541851144.

441158145120 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 581 + 4 + 51 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50224249 + ... + 50233031.

It is an arithmetic number, because the mean of its divisors is an integer number (2523467520).

Almost surely, 2^441158145120 is an apocalyptic number.

441158145120 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 441158145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969011527680).

441158145120 is an abundant number, since it is smaller than the sum of its proper divisors (1496864910240).

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

441158145120 is a wasteful number, since it uses less digits than its factorization.

441158145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8976 (or 8962 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Adding to 441158145120 its reverse (21541851144), we get a palindrome (462699996264).

The spelling of 441158145120 in words is "four hundred forty-one billion, one hundred fifty-eight million, one hundred forty-five thousand, one hundred twenty".