440314004130 has 512 divisors, whose sum is σ = 1533974077440. Its totient is φ = 77844602880.

The previous prime is 440314004057. The next prime is 440314004171. The reversal of 440314004130 is 31400413044.

It is a self number, because there is not a number n which added to its sum of digits gives 440314004130.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21100662 + ... + 21121518.

It is an arithmetic number, because the mean of its divisors is an integer number (2996043120).

Almost surely, 2^440314004130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440314004130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766987038720).

440314004130 is an abundant number, since it is smaller than the sum of its proper divisors (1093660073310).

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

440314004130 is a wasteful number, since it uses less digits than its factorization.

440314004130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20954.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 440314004130 its reverse (31400413044), we get a palindrome (471714417174).

The spelling of 440314004130 in words is "four hundred forty billion, three hundred fourteen million, four thousand, one hundred thirty".