314040414016 has 112 divisors (see below), whose sum is σ = 735559160832. Its totient is φ = 130178764800.

The previous prime is 314040413987. The next prime is 314040414019. The reversal of 314040414016 is 610414040413.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314040414019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33062580 + ... + 33072076.

Almost surely, 2^314040414016 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 314040414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367779580416).

314040414016 is an abundant number, since it is smaller than the sum of its proper divisors (421518746816).

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

314040414016 is a wasteful number, since it uses less digits than its factorization.

314040414016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11928 (or 11918 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 314040414016 its reverse (610414040413), we get a palindrome (924454454429).

The spelling of 314040414016 in words is "three hundred fourteen billion, forty million, four hundred fourteen thousand, sixteen".