314032112440000 has 140 divisors (see below), whose sum is σ = 779017351450624. Its totient is φ = 125561261952000.

The previous prime is 314032112439979. The next prime is 314032112440063. The reversal of 314032112440000 is 44211230413.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 19 ways as a sum of consecutive naturals, for example, 95869249 + ... + 99090751.

Almost surely, 2^{314032112440000} 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 314032112440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389508675725312).

314032112440000 is an abundant number, since it is smaller than the sum of its proper divisors (464985239010624).

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

314032112440000 is an equidigital number, since it uses as much as digits as its factorization.

314032112440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223972 (or 3223947 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 314032112440000 its reverse (44211230413), we get a palindrome (314076323670413).

The spelling of 314032112440000 in words is "three hundred fourteen trillion, thirty-two billion, one hundred twelve million, four hundred forty thousand".