314123311241240 has 256 divisors, whose sum is σ = 805372378398720. Its totient is φ = 109672823070720.

The previous prime is 314123311241231. The next prime is 314123311241281. The reversal of 314123311241240 is 42142113321413.

It is a super-2 number, since 2×314123311241240² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314123311241197 and 314123311241206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44772017 + ... + 51310623.

It is an arithmetic number, because the mean of its divisors is an integer number (3145985853120).

Almost surely, 2^{314123311241240} 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 314123311241240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402686189199360).

314123311241240 is an abundant number, since it is smaller than the sum of its proper divisors (491249067157480).

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

314123311241240 is a wasteful number, since it uses less digits than its factorization.

314123311241240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6538762 (or 6538758 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 314123311241240 its reverse (42142113321413), we get a palindrome (356265424562653).

The spelling of 314123311241240 in words is "three hundred fourteen trillion, one hundred twenty-three billion, three hundred eleven million, two hundred forty-one thousand, two hundred forty".