514541641140 has 120 divisors (see below), whose sum is σ = 1618397051040. Its totient is φ = 136848906432.

The previous prime is 514541641099. The next prime is 514541641151. The reversal of 514541641140 is 41146145415.

514541641140 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 4 + 1 + 641 + 1 + 4 + 0 = 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 = 514541641095 and 514541641104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194959 + ... + 1033001.

It is an arithmetic number, because the mean of its divisors is an integer number (13486642092).

Almost surely, 2^514541641140 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 514541641140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809198525520).

514541641140 is an abundant number, since it is smaller than the sum of its proper divisors (1103855409900).

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

514541641140 is a wasteful number, since it uses less digits than its factorization.

514541641140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838443 (or 838432 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 514541641140 its reverse (41146145415), we get a palindrome (555687786555).

The spelling of 514541641140 in words is "five hundred fourteen billion, five hundred forty-one million, six hundred forty-one thousand, one hundred forty".