441201101023044 has 240 divisors, whose sum is σ = 1241391537950256. Its totient is φ = 136131757056000.

The previous prime is 441201101023003. The next prime is 441201101023073. The reversal of 441201101023044 is 440320101102144.

441201101023044 is a `hidden beast` number, since 4 + 41 + 201 + 10 + 102 + 304 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4768807737600 + 436432293285444 = 2183760^2 + 20890962^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 441201101022999 and 441201101023017.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3229784344 + ... + 3229920944.

Almost surely, 2^{441201101023044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441201101023044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620695768975128).

441201101023044 is an abundant number, since it is smaller than the sum of its proper divisors (800190436927212).

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

441201101023044 is a wasteful number, since it uses less digits than its factorization.

441201101023044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146308 (or 146297 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 441201101023044 its reverse (440320101102144), we get a palindrome (881521202125188).

The spelling of 441201101023044 in words is "four hundred forty-one trillion, two hundred one billion, one hundred one million, twenty-three thousand, forty-four".