314141200240 has 80 divisors (see below), whose sum is σ = 842376173760. Its totient is φ = 106717409280.

The previous prime is 314141200207. The next prime is 314141200271. The reversal of 314141200240 is 42002141413.

It is a happy number.

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

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, 2512201 + ... + 2634280.

It is an arithmetic number, because the mean of its divisors is an integer number (10529702172).

Almost surely, 2^314141200240 is an apocalyptic number.

It is an amenable number.

314141200240 is an abundant number, since it is smaller than the sum of its proper divisors (528234973520).

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

314141200240 is a wasteful number, since it uses less digits than its factorization.

314141200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146610 (or 5146604 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 314141200240 its reverse (42002141413), we get a palindrome (356143341653).

The spelling of 314141200240 in words is "three hundred fourteen billion, one hundred forty-one million, two hundred thousand, two hundred forty".