314012234040 has 128 divisors (see below), whose sum is σ = 949568555520. Its totient is φ = 83069683200.

The previous prime is 314012233963. The next prime is 314012234047. The reversal of 314012234040 is 40432210413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 314012234040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314012234047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7854582 + ... + 7894458.

It is an arithmetic number, because the mean of its divisors is an integer number (7418504340).

Almost surely, 2^314012234040 is an apocalyptic number.

314012234040 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 314012234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474784277760).

314012234040 is an abundant number, since it is smaller than the sum of its proper divisors (635556321480).

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

314012234040 is a wasteful number, since it uses less digits than its factorization.

314012234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40413 (or 40409 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 314012234040 its reverse (40432210413), we get a palindrome (354444444453).

The spelling of 314012234040 in words is "three hundred fourteen billion, twelve million, two hundred thirty-four thousand, forty".