314234010240 has 256 divisors, whose sum is σ = 1025979419520. Its totient is φ = 81761992704.

The previous prime is 314234010239. The next prime is 314234010241. The reversal of 314234010240 is 42010432413.

It is an interprime number because it is at equal distance from previous prime (314234010239) and next prime (314234010241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 314234010240.

It is not an unprimeable number, because it can be changed into a prime (314234010241) by changing a digit.

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, 136800772 + ... + 136803068.

Almost surely, 2^314234010240 is an apocalyptic number.

314234010240 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 314234010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512989709760).

314234010240 is an abundant number, since it is smaller than the sum of its proper divisors (711745409280).

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

314234010240 is a wasteful number, since it uses less digits than its factorization.

314234010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 314234010240 its reverse (42010432413), we get a palindrome (356244442653).

The spelling of 314234010240 in words is "three hundred fourteen billion, two hundred thirty-four million, ten thousand, two hundred forty".