314434033120 has 48 divisors (see below), whose sum is σ = 743055692400. Its totient is φ = 125738855424.

The previous prime is 314434033099. The next prime is 314434033129. The reversal of 314434033120 is 21330434413.

It is a super-2 number, since 2×314434033120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314434033129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313156 + ... + 852604.

It is an arithmetic number, because the mean of its divisors is an integer number (15480326925).

Almost surely, 2^314434033120 is an apocalyptic number.

It is an amenable number.

314434033120 is an abundant number, since it is smaller than the sum of its proper divisors (428621659280).

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

314434033120 is a wasteful number, since it uses less digits than its factorization.

314434033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543107 (or 543099 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 314434033120 its reverse (21330434413), we get a palindrome (335764467533).

The spelling of 314434033120 in words is "three hundred fourteen billion, four hundred thirty-four million, thirty-three thousand, one hundred twenty".