314191427424 has 192 divisors, whose sum is σ = 1007713115136. Its totient is φ = 83667861504.

The previous prime is 314191427399. The next prime is 314191427507. The reversal of 314191427424 is 424724191413.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1043164 + ... + 1310180.

It is an arithmetic number, because the mean of its divisors is an integer number (5248505808).

Almost surely, 2^314191427424 is an apocalyptic number.

314191427424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314191427424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503856557568).

314191427424 is an abundant number, since it is smaller than the sum of its proper divisors (693521687712).

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

314191427424 is a wasteful number, since it uses less digits than its factorization.

314191427424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267157 (or 267149 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The spelling of 314191427424 in words is "three hundred fourteen billion, one hundred ninety-one million, four hundred twenty-seven thousand, four hundred twenty-four".