35142749009424 has 135 divisors (see below), whose sum is σ = 114409796820813. Its totient is φ = 10040643156096.

The previous prime is 35142749009387. The next prime is 35142749009443. The reversal of 35142749009424 is 42490094724153.

The square root of 35142749009424 is 5928132.

It is a perfect power (a square), and thus also a powerful number.

35142749009424 is a `hidden beast` number, since 3 + 5 + 1 + 42 + 7 + 490 + 0 + 94 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7446021987600 + 27696727021824 = 2728740^2 + 5262768^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 497927802 + ... + 497998374.

Almost surely, 2^{35142749009424} is an apocalyptic number.

35142749009424 is the 5928132-nd square number.

It is an amenable number.

35142749009424 is an abundant number, since it is smaller than the sum of its proper divisors (79267047811389).

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

35142749009424 is an frugal number, since it uses more digits than its factorization.

35142749009424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141174 (or 70585 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 35142749009424 in words is "thirty-five trillion, one hundred forty-two billion, seven hundred forty-nine million, nine thousand, four hundred twenty-four".