314122222440 has 192 divisors, whose sum is σ = 1100174624640. Its totient is φ = 77269870080.

The previous prime is 314122222433. The next prime is 314122222457. The reversal of 314122222440 is 44222221413.

It is a happy number.

314122222440 is a `hidden beast` number, since 3 + 1 + 412 + 2 + 2 + 2 + 244 + 0 = 666.

It is an unprimeable number.

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, 7105605 + ... + 7149675.

It is an arithmetic number, because the mean of its divisors is an integer number (5730076170).

Almost surely, 2^314122222440 is an apocalyptic number.

314122222440 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 314122222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550087312320).

314122222440 is an abundant number, since it is smaller than the sum of its proper divisors (786052402200).

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

314122222440 is a wasteful number, since it uses less digits than its factorization.

314122222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45624 (or 45617 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 314122222440 its reverse (44222221413), we get a palindrome (358344443853).

The spelling of 314122222440 in words is "three hundred fourteen billion, one hundred twenty-two million, two hundred twenty-two thousand, four hundred forty".