440672276044 has 144 divisors (see below), whose sum is σ = 1060905275136. Its totient is φ = 157432464000.

The previous prime is 440672276039. The next prime is 440672276063.

440672276044 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 440672275985 and 440672276003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4180167 + ... + 4284289.

It is an arithmetic number, because the mean of its divisors is an integer number (7367397744).

Almost surely, 2^440672276044 is an apocalyptic number.

440672276044 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 440672276044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530452637568).

440672276044 is an abundant number, since it is smaller than the sum of its proper divisors (620232999092).

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

440672276044 is a wasteful number, since it uses less digits than its factorization.

440672276044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104316 (or 104307 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 46.

The spelling of 440672276044 in words is "four hundred forty billion, six hundred seventy-two million, two hundred seventy-six thousand, forty-four".