514321113123440 has 320 divisors, whose sum is σ = 1415814924902400. Its totient is φ = 170009495212032.

The previous prime is 514321113123383. The next prime is 514321113123449. The reversal of 514321113123440 is 44321311123415.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 514321113123440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514321113123449) 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, 34650744659 + ... + 34650759501.

It is an arithmetic number, because the mean of its divisors is an integer number (4424421640320).

Almost surely, 2^{514321113123440} 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 514321113123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707907462451200).

514321113123440 is an abundant number, since it is smaller than the sum of its proper divisors (901493811778960).

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

514321113123440 is a wasteful number, since it uses less digits than its factorization.

514321113123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17864 (or 17858 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 514321113123440 its reverse (44321311123415), we get a palindrome (558642424246855).

The spelling of 514321113123440 in words is "five hundred fourteen trillion, three hundred twenty-one billion, one hundred thirteen million, one hundred twenty-three thousand, four hundred forty".