428135971041 has 9 divisors (see below), whose sum is σ = 618421460241. Its totient is φ = 285422672052.

The previous prime is 428135971001. The next prime is 428135971073. The reversal of 428135971041 is 140179531824.

The square root of 428135971041 is 654321.

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

428135971041 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 3 + 597 + 10 + 41 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 428135971041 - 2²³ = 428127582433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428135971001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1853910 + ... + 2072016.

Almost surely, 2^428135971041 is an apocalyptic number.

428135971041 is the 654321-st square number.

428135971041 is the 327161-st centered octagonal number.

It is an amenable number.

428135971041 is a deficient number, since it is larger than the sum of its proper divisors (190285489200).

428135971041 is an frugal number, since it uses more digits than its factorization.

428135971041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436220 (or 218110 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 428135971041 in words is "four hundred twenty-eight billion, one hundred thirty-five million, nine hundred seventy-one thousand, forty-one".