314724142080 has 528 divisors, whose sum is σ = 1147204041984. Its totient is φ = 79667527680.

The previous prime is 314724142069. The next prime is 314724142081. The reversal of 314724142080 is 80241427413.

314724142080 is a `hidden beast` number, since 3 + 147 + 2 + 414 + 20 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (314724142081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75707362 + ... + 75711518.

It is an arithmetic number, because the mean of its divisors is an integer number (2172734928).

Almost surely, 2^314724142080 is an apocalyptic number.

314724142080 is a gapful number since it is divisible by the number (30) 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 314724142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573602020992).

314724142080 is an abundant number, since it is smaller than the sum of its proper divisors (832479899904).

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

314724142080 is a wasteful number, since it uses less digits than its factorization.

314724142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 314724142080 its reverse (80241427413), we get a palindrome (394965569493).

The spelling of 314724142080 in words is "three hundred fourteen billion, seven hundred twenty-four million, one hundred forty-two thousand, eighty".