440344124640 has 576 divisors, whose sum is σ = 1870087564800. Its totient is φ = 92063526912.

The previous prime is 440344124599. The next prime is 440344124687. The reversal of 440344124640 is 46421443044.

440344124640 is a `hidden beast` number, since 4 + 4 + 0 + 3 + 4 + 4 + 1 + 2 + 4 + 640 = 666.

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 = 440344124595 and 440344124604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5514439 + ... + 5593721.

It is an arithmetic number, because the mean of its divisors is an integer number (3246679800).

Almost surely, 2^440344124640 is an apocalyptic number.

440344124640 is a gapful number since it is divisible by the number (40) 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 440344124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935043782400).

440344124640 is an abundant number, since it is smaller than the sum of its proper divisors (1429743440160).

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

440344124640 is a wasteful number, since it uses less digits than its factorization.

440344124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79359 (or 79348 counting only the distinct ones).

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

Adding to 440344124640 its reverse (46421443044), we get a palindrome (486765567684).

The spelling of 440344124640 in words is "four hundred forty billion, three hundred forty-four million, one hundred twenty-four thousand, six hundred forty".