314034103401440 has 48 divisors (see below), whose sum is σ = 749554080346512. Its totient is φ = 124318655361024.

The previous prime is 314034103401419. The next prime is 314034103401451. The reversal of 314034103401440 is 44104301430413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 314034103401397 and 314034103401406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10117062554 + ... + 10117093593.

It is an arithmetic number, because the mean of its divisors is an integer number (15615710007219).

Almost surely, 2^{314034103401440} is an apocalyptic number.

It is an amenable number.

314034103401440 is an abundant number, since it is smaller than the sum of its proper divisors (435519976945072).

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

314034103401440 is a wasteful number, since it uses less digits than its factorization.

314034103401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20234156259 (or 20234156251 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 314034103401440 its reverse (44104301430413), we get a palindrome (358138404831853).

The spelling of 314034103401440 in words is "three hundred fourteen trillion, thirty-four billion, one hundred three million, four hundred one thousand, four hundred forty".