314104443040 has 192 divisors, whose sum is σ = 767705444352. Its totient is φ = 121397785600.

The previous prime is 314104443019. The next prime is 314104443053. The reversal of 314104443040 is 40344401413.

It is a happy number.

It is a super-2 number, since 2×314104443040² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 123516009 + ... + 123518551.

It is an arithmetic number, because the mean of its divisors is an integer number (3998465856).

Almost surely, 2^314104443040 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 314104443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383852722176).

314104443040 is an abundant number, since it is smaller than the sum of its proper divisors (453601001312).

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

314104443040 is a wasteful number, since it uses less digits than its factorization.

314104443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 314104443040 its reverse (40344401413), we get a palindrome (354448844453).

The spelling of 314104443040 in words is "three hundred fourteen billion, one hundred four million, four hundred forty-three thousand, forty".