314124001130440 has 128 divisors (see below), whose sum is σ = 756249175526400. Its totient is φ = 117078551504640.

The previous prime is 314124001130431. The next prime is 314124001130447. The reversal of 314124001130440 is 44031100421413.

It is a junction number, because it is equal to n+sod(n) for n = 314124001130399 and 314124001130408.

It is not an unprimeable number, because it can be changed into a prime (314124001130447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28177875 + ... + 37712605.

It is an arithmetic number, because the mean of its divisors is an integer number (5908196683800).

Almost surely, 2^{314124001130440} 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 314124001130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378124587763200).

314124001130440 is an abundant number, since it is smaller than the sum of its proper divisors (442125174395960).

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

314124001130440 is a wasteful number, since it uses less digits than its factorization.

314124001130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9535475 (or 9535471 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 314124001130440 its reverse (44031100421413), we get a palindrome (358155101551853).

The spelling of 314124001130440 in words is "three hundred fourteen trillion, one hundred twenty-four billion, one million, one hundred thirty thousand, four hundred forty".