314353115040000 has 360 divisors, whose sum is σ = 1046345148747360. Its totient is φ = 83756724224000.

The previous prime is 314353115039939. The next prime is 314353115040061. The reversal of 314353115040000 is 40511353413.

It is an interprime number because it is at equal distance from previous prime (314353115039939) and next prime (314353115040061).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 314353115040000.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 569484136 + ... + 570035864.

It is an arithmetic number, because the mean of its divisors is an integer number (2906514302076).

Almost surely, 2^{314353115040000} is an apocalyptic number.

314353115040000 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 314353115040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523172574373680).

314353115040000 is an abundant number, since it is smaller than the sum of its proper divisors (731992033707360).

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

314353115040000 is an equidigital number, since it uses as much as digits as its factorization.

314353115040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552955 (or 552926 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 314353115040000 its reverse (40511353413), we get a palindrome (314393626393413).

The spelling of 314353115040000 in words is "three hundred fourteen trillion, three hundred fifty-three billion, one hundred fifteen million, forty thousand".