512154414240 has 96 divisors (see below), whose sum is σ = 1843755903360. Its totient is φ = 117063865344.

The previous prime is 512154414203. The next prime is 512154414311. The reversal of 512154414240 is 42414451215.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 76210095 + ... + 76216814.

It is an arithmetic number, because the mean of its divisors is an integer number (19205790660).

Almost surely, 2^512154414240 is an apocalyptic number.

It is an amenable number.

512154414240 is an abundant number, since it is smaller than the sum of its proper divisors (1331601489120).

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

512154414240 is a wasteful number, since it uses less digits than its factorization.

512154414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152426934 (or 152426926 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 512154414240 its reverse (42414451215), we get a palindrome (554568865455).

The spelling of 512154414240 in words is "five hundred twelve billion, one hundred fifty-four million, four hundred fourteen thousand, two hundred forty".