314120020410 has 128 divisors (see below), whose sum is σ = 969436569600. Its totient is φ = 70889981760.

The previous prime is 314120020399. The next prime is 314120020421. The reversal of 314120020410 is 14020021413.

314120020410 is a `hidden beast` number, since 31 + 4 + 1 + 200 + 20 + 410 = 666.

It is an interprime number because it is at equal distance from previous prime (314120020399) and next prime (314120020421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 902596 + ... + 1201215.

It is an arithmetic number, because the mean of its divisors is an integer number (7573723200).

Almost surely, 2^314120020410 is an apocalyptic number.

314120020410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314120020410 is an abundant number, since it is smaller than the sum of its proper divisors (655316549190).

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

314120020410 is a wasteful number, since it uses less digits than its factorization.

314120020410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103913 (or 2103907 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 314120020410 its reverse (14020021413), we get a palindrome (328140041823).

The spelling of 314120020410 in words is "three hundred fourteen billion, one hundred twenty million, twenty thousand, four hundred ten".