314112431040 has 112 divisors (see below), whose sum is σ = 999981853728. Its totient is φ = 83538653184.

The previous prime is 314112431023. The next prime is 314112431053. The reversal of 314112431040 is 40134211413.

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 314112431040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80527 + ... + 796686.

Almost surely, 2^314112431040 is an apocalyptic number.

314112431040 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 314112431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499990926864).

314112431040 is an abundant number, since it is smaller than the sum of its proper divisors (685869422688).

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

314112431040 is a wasteful number, since it uses less digits than its factorization.

314112431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877606 (or 877596 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 314112431040 its reverse (40134211413), we get a palindrome (354246642453).

The spelling of 314112431040 in words is "three hundred fourteen billion, one hundred twelve million, four hundred thirty-one thousand, forty".