314321202505440 has 1536 divisors, whose sum is σ = 1299261358080000. Its totient is φ = 70224323936256.

The previous prime is 314321202505421. The next prime is 314321202505447. The reversal of 314321202505440 is 44505202123413.

It is a happy number.

314321202505440 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 2 + 1 + 202 + 5 + 0 + 5 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 314321202505395 and 314321202505404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314321202505447) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24558256161 + ... + 24558268959.

It is an arithmetic number, because the mean of its divisors is an integer number (845873280000).

Almost surely, 2^{314321202505440} is an apocalyptic number.

314321202505440 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 314321202505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649630679040000).

314321202505440 is an abundant number, since it is smaller than the sum of its proper divisors (984940155574560).

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

314321202505440 is a wasteful number, since it uses less digits than its factorization.

314321202505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13769 (or 13755 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 314321202505440 its reverse (44505202123413), we get a palindrome (358826404628853).

The spelling of 314321202505440 in words is "three hundred fourteen trillion, three hundred twenty-one billion, two hundred two million, five hundred five thousand, four hundred forty".