440114411044 has 72 divisors (see below), whose sum is σ = 978023501280. Its totient is φ = 171363225600.

The previous prime is 440114411027. The next prime is 440114411047.

It is a happy number.

440114411044 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (440114411047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3339684 + ... + 3468964.

It is an arithmetic number, because the mean of its divisors is an integer number (13583659740).

Almost surely, 2^440114411044 is an apocalyptic number.

440114411044 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 440114411044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489011750640).

440114411044 is an abundant number, since it is smaller than the sum of its proper divisors (537909090236).

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

440114411044 is a wasteful number, since it uses less digits than its factorization.

440114411044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130889 (or 130880 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 440114 and 411044, that added together give a palindrome (851158).

The spelling of 440114411044 in words is "four hundred forty billion, one hundred fourteen million, four hundred eleven thousand, forty-four".