440424424044 has 144 divisors (see below), whose sum is σ = 1247887630080. Its totient is φ = 129796629120.

The previous prime is 440424424019. The next prime is 440424424051.

440424424044 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 244 + 2 + 404 + 4 = 666.

440424424044 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41298657 + ... + 41309319.

It is an arithmetic number, because the mean of its divisors is an integer number (8665886320).

Almost surely, 2^440424424044 is an apocalyptic number.

440424424044 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 440424424044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623943815040).

440424424044 is an abundant number, since it is smaller than the sum of its proper divisors (807463206036).

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

440424424044 is a wasteful number, since it uses less digits than its factorization.

440424424044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13540 (or 13535 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 440424 and 424044, that added together give a palindrome (864468).

The spelling of 440424424044 in words is "four hundred forty billion, four hundred twenty-four million, four hundred twenty-four thousand, forty-four".