42151374864 has 105 divisors (see below), whose sum is σ = 122510864749. Its totient is φ = 14043067200.

The previous prime is 42151374791. The next prime is 42151374871. The reversal of 42151374864 is 46847315124.

The square root of 42151374864 is 205308.

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

42151374864 is a `hidden beast` number, since 4 + 2 + 1 + 513 + 74 + 8 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3515541264 + 38635833600 = 59292^2 + 196560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 22172314 + ... + 22174214.

Almost surely, 2^42151374864 is an apocalyptic number.

42151374864 is the 205308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42151374864

42151374864 is an abundant number, since it is smaller than the sum of its proper divisors (80359489885).

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

42151374864 is an frugal number, since it uses more digits than its factorization.

42151374864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 1906 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

Adding to 42151374864 its reverse (46847315124), we get a palindrome (88998689988).

The spelling of 42151374864 in words is "forty-two billion, one hundred fifty-one million, three hundred seventy-four thousand, eight hundred sixty-four".