314334220130400 has 72 divisors (see below), whose sum is σ = 1023157886532264. Its totient is φ = 83822458700800.

The previous prime is 314334220130377. The next prime is 314334220130417. The reversal of 314334220130400 is 4031022433413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65486293461 + ... + 65486298260.

It is an arithmetic number, because the mean of its divisors is an integer number (14210526201837).

Almost surely, 2^{314334220130400} is an apocalyptic number.

314334220130400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314334220130400 is an abundant number, since it is smaller than the sum of its proper divisors (708823666401864).

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

314334220130400 is a wasteful number, since it uses less digits than its factorization.

314334220130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130972591744 (or 130972591731 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 314334220130400 its reverse (4031022433413), we get a palindrome (318365242563813).

The spelling of 314334220130400 in words is "three hundred fourteen trillion, three hundred thirty-four billion, two hundred twenty million, one hundred thirty thousand, four hundred".