440622226044 has 576 divisors, whose sum is σ = 1616790389760. Its totient is φ = 97372938240.

The previous prime is 440622226021. The next prime is 440622226049.

440622226044 is a `hidden beast` number, since 4 + 4 + 0 + 6 + 22 + 22 + 604 + 4 = 666.

440622226044 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440622226049) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25324612 + ... + 25342004.

It is an arithmetic number, because the mean of its divisors is an integer number (2806927760).

Almost surely, 2^440622226044 is an apocalyptic number.

440622226044 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 440622226044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808395194880).

440622226044 is an abundant number, since it is smaller than the sum of its proper divisors (1176168163716).

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

440622226044 is a wasteful number, since it uses less digits than its factorization.

440622226044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17490 (or 17485 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 440622 and 226044, that added together give a palindrome (666666).

The spelling of 440622226044 in words is "four hundred forty billion, six hundred twenty-two million, two hundred twenty-six thousand, forty-four".