314143423132140 has 576 divisors, whose sum is σ = 1122901842246912. Its totient is φ = 69594513408000.

The previous prime is 314143423132129. The next prime is 314143423132183. The reversal of 314143423132140 is 41231324341413.

314143423132140 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 4 + 3 + 423 + 13 + 214 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 314143423132095 and 314143423132104.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12270735340 + ... + 12270760940.

It is an arithmetic number, because the mean of its divisors is an integer number (1949482365012).

Almost surely, 2^{314143423132140} is an apocalyptic number.

314143423132140 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 314143423132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561450921123456).

314143423132140 is an abundant number, since it is smaller than the sum of its proper divisors (808758419114772).

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

314143423132140 is a wasteful number, since it uses less digits than its factorization.

314143423132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27210 (or 27205 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 314143423132140 its reverse (41231324341413), we get a palindrome (355374747473553).

The spelling of 314143423132140 in words is "three hundred fourteen trillion, one hundred forty-three billion, four hundred twenty-three million, one hundred thirty-two thousand, one hundred forty".