314040323440 has 80 divisors (see below), whose sum is σ = 738581790240. Its totient is φ = 124165324800.

The previous prime is 314040323411. The next prime is 314040323479. The reversal of 314040323440 is 44323040413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 314040323399 and 314040323408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34178527 + ... + 34187713.

It is an arithmetic number, because the mean of its divisors is an integer number (9232272378).

Almost surely, 2^314040323440 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 314040323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369290895120).

314040323440 is an abundant number, since it is smaller than the sum of its proper divisors (424541466800).

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

314040323440 is a wasteful number, since it uses less digits than its factorization.

314040323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14090 (or 14084 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 314040323440 its reverse (44323040413), we get a palindrome (358363363853).

The spelling of 314040323440 in words is "three hundred fourteen billion, forty million, three hundred twenty-three thousand, four hundred forty".