314114031201000 has 256 divisors, whose sum is σ = 1042602914545920. Its totient is φ = 78462827520000.

The previous prime is 314114031200987. The next prime is 314114031201067. The reversal of 314114031201000 is 102130411413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3834021 + ... + 25356020.

It is an arithmetic number, because the mean of its divisors is an integer number (4072667634945).

Almost surely, 2^{314114031201000} is an apocalyptic number.

314114031201000 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 314114031201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521301457272960).

314114031201000 is an abundant number, since it is smaller than the sum of its proper divisors (728488883344920).

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

314114031201000 is a wasteful number, since it uses less digits than its factorization.

314114031201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29190293 (or 29190279 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 314114031201000 its reverse (102130411413), we get a palindrome (314216161612413).

The spelling of 314114031201000 in words is "three hundred fourteen trillion, one hundred fourteen billion, thirty-one million, two hundred one thousand".