314385500235240 has 1152 divisors, whose sum is σ = 1298200474771200. Its totient is φ = 67011572367360.

The previous prime is 314385500235229. The next prime is 314385500235259. The reversal of 314385500235240 is 42532005583413.

314385500235240 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 8 + 550 + 0 + 2 + 3 + 52 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2143254700 + ... + 2143401380.

It is an arithmetic number, because the mean of its divisors is an integer number (1126910134350).

Almost surely, 2^{314385500235240} is an apocalyptic number.

314385500235240 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 314385500235240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649100237385600).

314385500235240 is an abundant number, since it is smaller than the sum of its proper divisors (983814974535960).

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

314385500235240 is a wasteful number, since it uses less digits than its factorization.

314385500235240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146857 (or 146824 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 314385500235240 in words is "three hundred fourteen trillion, three hundred eighty-five billion, five hundred million, two hundred thirty-five thousand, two hundred forty".