314112434040 has 384 divisors, whose sum is σ = 1060076160000. Its totient is φ = 80624194560.

The previous prime is 314112434033. The next prime is 314112434057. The reversal of 314112434040 is 40434211413.

314112434040 is a `hidden beast` number, since 3 + 1 + 4 + 11 + 243 + 404 + 0 = 666.

314112434040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 314112433995 and 314112434013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219812046 + ... + 219813474.

It is an arithmetic number, because the mean of its divisors is an integer number (2760615000).

Almost surely, 2^314112434040 is an apocalyptic number.

314112434040 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 314112434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530038080000).

314112434040 is an abundant number, since it is smaller than the sum of its proper divisors (745963725960).

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

314112434040 is a wasteful number, since it uses less digits than its factorization.

314112434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 314112434040 its reverse (40434211413), we get a palindrome (354546645453).

The spelling of 314112434040 in words is "three hundred fourteen billion, one hundred twelve million, four hundred thirty-four thousand, forty".