440020443233420 has 144 divisors (see below), whose sum is σ = 1084751323008192. Its totient is φ = 149487537830400.

The previous prime is 440020443233383. The next prime is 440020443233521. The reversal of 440020443233420 is 24332344020044.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 47 ways as a sum of consecutive naturals, for example, 55003082 + ... + 62493038.

It is an arithmetic number, because the mean of its divisors is an integer number (7532995298668).

Almost surely, 2^{440020443233420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440020443233420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542375661504096).

440020443233420 is an abundant number, since it is smaller than the sum of its proper divisors (644730879774772).

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

440020443233420 is a wasteful number, since it uses less digits than its factorization.

440020443233420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7490528 (or 7490519 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 35.

Adding to 440020443233420 its reverse (24332344020044), we get a palindrome (464352787253464).

The spelling of 440020443233420 in words is "four hundred forty trillion, twenty billion, four hundred forty-three million, two hundred thirty-three thousand, four hundred twenty".