514390487040 has 624 divisors, whose sum is σ = 1894889689056. Its totient is φ = 133772083200.

The previous prime is 514390486993. The next prime is 514390487041. The reversal of 514390487040 is 40784093415.

514390487040 is a `hidden beast` number, since 5 + 1 + 43 + 90 + 487 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514390487041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 204040980 + ... + 204043500.

It is an arithmetic number, because the mean of its divisors is an integer number (3036682194).

Almost surely, 2^514390487040 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 514390487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947444844528).

514390487040 is an abundant number, since it is smaller than the sum of its proper divisors (1380499202016).

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

514390487040 is an equidigital number, since it uses as much as digits as its factorization.

514390487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 514390487040 in words is "five hundred fourteen billion, three hundred ninety million, four hundred eighty-seven thousand, forty".