314405240436 has 144 divisors (see below), whose sum is σ = 967271445504. Its totient is φ = 84057043968.

The previous prime is 314405240371. The next prime is 314405240437. The reversal of 314405240436 is 634042504413.

314405240436 is a `hidden beast` number, since 3 + 1 + 4 + 405 + 240 + 4 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 314405240436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314405240437) 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 47 ways as a sum of consecutive naturals, for example, 529021 + ... + 953243.

It is an arithmetic number, because the mean of its divisors is an integer number (6717162816).

Almost surely, 2^314405240436 is an apocalyptic number.

314405240436 is a gapful number since it is divisible by the number (36) 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 314405240436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483635722752).

314405240436 is an abundant number, since it is smaller than the sum of its proper divisors (652866205068).

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

314405240436 is a wasteful number, since it uses less digits than its factorization.

314405240436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424430 (or 424425 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 314405240436 its reverse (634042504413), we get a palindrome (948447744849).

The spelling of 314405240436 in words is "three hundred fourteen billion, four hundred five million, two hundred forty thousand, four hundred thirty-six".