314241011040 has 384 divisors, whose sum is σ = 1102671263232. Its totient is φ = 74575953920.

The previous prime is 314241011033. The next prime is 314241011041. The reversal of 314241011040 is 40110142413.

It is a junction number, because it is equal to n+sod(n) for n = 314241010998 and 314241011016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314241011041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164265124 + ... + 164267036.

It is an arithmetic number, because the mean of its divisors is an integer number (2871539748).

Almost surely, 2^314241011040 is an apocalyptic number.

314241011040 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 314241011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551335631616).

314241011040 is an abundant number, since it is smaller than the sum of its proper divisors (788430252192).

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

314241011040 is a wasteful number, since it uses less digits than its factorization.

314241011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 314241011040 its reverse (40110142413), we get a palindrome (354351153453).

The spelling of 314241011040 in words is "three hundred fourteen billion, two hundred forty-one million, eleven thousand, forty".