514045030400 has 312 divisors, whose sum is σ = 1463803780800. Its totient is φ = 177079910400.

The previous prime is 514045030397. The next prime is 514045030423. The reversal of 514045030400 is 4030540415.

It is a self number, because there is not a number n which added to its sum of digits gives 514045030400.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21389591 + ... + 21413609.

Almost surely, 2^514045030400 is an apocalyptic number.

514045030400 is a gapful number since it is divisible by the number (50) 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 514045030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731901890400).

514045030400 is an abundant number, since it is smaller than the sum of its proper divisors (949758750400).

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

514045030400 is a wasteful number, since it uses less digits than its factorization.

514045030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24083 (or 24056 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 514045030400 its reverse (4030540415), we get a palindrome (518075570815).

The spelling of 514045030400 in words is "five hundred fourteen billion, forty-five million, thirty thousand, four hundred".