314013434240 has 128 divisors (see below), whose sum is σ = 820293073920. Its totient is φ = 113997035520.

The previous prime is 314013434239. The next prime is 314013434261. The reversal of 314013434240 is 42434310413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4236539 + ... + 4310021.

It is an arithmetic number, because the mean of its divisors is an integer number (6408539640).

Almost surely, 2^314013434240 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 314013434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410146536960).

314013434240 is an abundant number, since it is smaller than the sum of its proper divisors (506279639680).

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

314013434240 is a wasteful number, since it uses less digits than its factorization.

314013434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74120 (or 74108 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 314013434240 its reverse (42434310413), we get a palindrome (356447744653).

The spelling of 314013434240 in words is "three hundred fourteen billion, thirteen million, four hundred thirty-four thousand, two hundred forty".