514023018240 has 288 divisors, whose sum is σ = 1752888614400. Its totient is φ = 128063029248.

The previous prime is 514023018233. The next prime is 514023018247. The reversal of 514023018240 is 42810320415.

It is an interprime number because it is at equal distance from previous prime (514023018233) and next prime (514023018247).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 514023018198 and 514023018207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514023018247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3730086 + ... + 3865434.

It is an arithmetic number, because the mean of its divisors is an integer number (6086418800).

Almost surely, 2^514023018240 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 514023018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876444307200).

514023018240 is an abundant number, since it is smaller than the sum of its proper divisors (1238865596160).

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

514023018240 is a wasteful number, since it uses less digits than its factorization.

514023018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135439 (or 135425 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 514023018240 its reverse (42810320415), we get a palindrome (556833338655).

The spelling of 514023018240 in words is "five hundred fourteen billion, twenty-three million, eighteen thousand, two hundred forty".