314120576000 has 1056 divisors, whose sum is σ = 1035325437120. Its totient is φ = 93929472000.

The previous prime is 314120575949. The next prime is 314120576009. The reversal of 314120576000 is 675021413.

It is a super-4 number, since 4×314120576000⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314120576009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2000767922 + ... + 2000768078.

Almost surely, 2^314120576000 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 314120576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517662718560).

314120576000 is an abundant number, since it is smaller than the sum of its proper divisors (721204861120).

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

314120576000 is a wasteful number, since it uses less digits than its factorization.

314120576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

Adding to 314120576000 its reverse (675021413), we get a palindrome (314795597413).

The spelling of 314120576000 in words is "three hundred fourteen billion, one hundred twenty million, five hundred seventy-six thousand".