440023343320044 has 216 divisors, whose sum is σ = 1233500341784256. Its totient is φ = 132150669235200.

The previous prime is 440023343320019. The next prime is 440023343320061.

440023343320044 is a `hidden beast` number, since 4 + 400 + 2 + 3 + 3 + 4 + 3 + 3 + 200 + 44 = 666.

440023343320044 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×440023343320044² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 440023343319990 and 440023343320008.

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 71 ways as a sum of consecutive naturals, for example, 9421712797 + ... + 9421759499.

Almost surely, 2^{440023343320044} is an apocalyptic number.

440023343320044 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 440023343320044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616750170892128).

440023343320044 is an abundant number, since it is smaller than the sum of its proper divisors (793476998464212).

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

440023343320044 is a wasteful number, since it uses less digits than its factorization.

440023343320044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65989 (or 65973 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

The spelling of 440023343320044 in words is "four hundred forty trillion, twenty-three billion, three hundred forty-three million, three hundred twenty thousand, forty-four".