314411013432 has 192 divisors, whose sum is σ = 920981936160. Its totient is φ = 96541286400.

The previous prime is 314411013391. The next prime is 314411013461. The reversal of 314411013432 is 234310114413.

314411013432 is a `hidden beast` number, since 314 + 4 + 1 + 1 + 0 + 1 + 343 + 2 = 666.

It is a super-3 number, since 3×314411013432³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314411013396 and 314411013405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11691682 + ... + 11718542.

Almost surely, 2^314411013432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314411013432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460490968080).

314411013432 is an abundant number, since it is smaller than the sum of its proper divisors (606570922728).

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

314411013432 is a wasteful number, since it uses less digits than its factorization.

314411013432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27094 (or 27087 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 314411013432 its reverse (234310114413), we get a palindrome (548721127845).

The spelling of 314411013432 in words is "three hundred fourteen billion, four hundred eleven million, thirteen thousand, four hundred thirty-two".