440561165044 has 96 divisors (see below), whose sum is σ = 1043720923392. Its totient is φ = 158443401600.

The previous prime is 440561164997. The next prime is 440561165071.

It is a happy number.

440561165044 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 440561164988 and 440561165006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29814 + ... + 939154.

It is an arithmetic number, because the mean of its divisors is an integer number (10872092952).

Almost surely, 2^440561165044 is an apocalyptic number.

440561165044 is a gapful number since it is divisible by the number (44) 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 440561165044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521860461696).

440561165044 is an abundant number, since it is smaller than the sum of its proper divisors (603159758348).

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

440561165044 is a wasteful number, since it uses less digits than its factorization.

440561165044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909398 (or 909374 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 440561165044 in words is "four hundred forty billion, five hundred sixty-one million, one hundred sixty-five thousand, forty-four".