314264411561240 has 256 divisors, whose sum is σ = 851447290982400. Its totient is φ = 102065033005056.

The previous prime is 314264411561237. The next prime is 314264411561249. The reversal of 314264411561240 is 42165114462413.

It is a junction number, because it is equal to n+sod(n) for n = 314264411561191 and 314264411561200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314264411561249) 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, 288760982 + ... + 289847258.

It is an arithmetic number, because the mean of its divisors is an integer number (3325965980400).

Almost surely, 2^{314264411561240} 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 314264411561240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425723645491200).

314264411561240 is an abundant number, since it is smaller than the sum of its proper divisors (537182879421160).

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

314264411561240 is a wasteful number, since it uses less digits than its factorization.

314264411561240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086754 (or 1086750 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 314264411561240 in words is "three hundred fourteen trillion, two hundred sixty-four billion, four hundred eleven million, five hundred sixty-one thousand, two hundred forty".