314030627441344 has 168 divisors, whose sum is σ = 717516803382624. Its totient is φ = 136003770777600.

The previous prime is 314030627441281. The next prime is 314030627441431. The reversal of 314030627441344 is 443144726030413.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 314030627441294 and 314030627441303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42344614 + ... + 49204954.

It is an arithmetic number, because the mean of its divisors is an integer number (4270933353468).

Almost surely, 2^{314030627441344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314030627441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358758401691312).

314030627441344 is an abundant number, since it is smaller than the sum of its proper divisors (403486175941280).

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

314030627441344 is a wasteful number, since it uses less digits than its factorization.

314030627441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860655 (or 6860634 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 46.

The spelling of 314030627441344 in words is "three hundred fourteen trillion, thirty billion, six hundred twenty-seven million, four hundred forty-one thousand, three hundred forty-four".