514200044160 has 512 divisors, whose sum is σ = 1995526368000. Its totient is φ = 124099706880.

The previous prime is 514200044119. The next prime is 514200044177. The reversal of 514200044160 is 61440002415.

514200044160 is a `hidden beast` number, since 5 + 14 + 200 + 0 + 441 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43522414 + ... + 43534226.

Almost surely, 2^514200044160 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 514200044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997763184000).

514200044160 is an abundant number, since it is smaller than the sum of its proper divisors (1481326323840).

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

514200044160 is a wasteful number, since it uses less digits than its factorization.

514200044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12081 (or 12063 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 514200044160 its reverse (61440002415), we get a palindrome (575640046575).

The spelling of 514200044160 in words is "five hundred fourteen billion, two hundred million, forty-four thousand, one hundred sixty".