314640034256460 has 144 divisors (see below), whose sum is σ = 974809320097536. Its totient is φ = 75202056048000.

The previous prime is 314640034256447. The next prime is 314640034256473. The reversal of 314640034256460 is 64652430046413.

It is an interprime number because it is at equal distance from previous prime (314640034256447) and next prime (314640034256473).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43957936 + ... + 50612055.

It is an arithmetic number, because the mean of its divisors is an integer number (6769509167344).

Almost surely, 2^{314640034256460} is an apocalyptic number.

314640034256460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314640034256460 is an abundant number, since it is smaller than the sum of its proper divisors (660169285841076).

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

314640034256460 is a wasteful number, since it uses less digits than its factorization.

314640034256460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94570156 (or 94570083 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 314640034256460 in words is "three hundred fourteen trillion, six hundred forty billion, thirty-four million, two hundred fifty-six thousand, four hundred sixty".