464031640314 has 144 divisors (see below), whose sum is σ = 1181063467584. Its totient is φ = 131106159360.

The previous prime is 464031640313. The next prime is 464031640333. The reversal of 464031640314 is 413046130464.

464031640314 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 3 + 1 + 640 + 3 + 1 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (464031640313) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3903219 + ... + 4020345.

It is an arithmetic number, because the mean of its divisors is an integer number (8201829636).

Almost surely, 2^464031640314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464031640314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590531733792).

464031640314 is an abundant number, since it is smaller than the sum of its proper divisors (717031827270).

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

464031640314 is a wasteful number, since it uses less digits than its factorization.

464031640314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117281 (or 117267 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 464031640314 its reverse (413046130464), we get a palindrome (877077770778).

The spelling of 464031640314 in words is "four hundred sixty-four billion, thirty-one million, six hundred forty thousand, three hundred fourteen".