42816062952 has 96 divisors (see below), whose sum is σ = 125034535080. Its totient is φ = 13157890560.

The previous prime is 42816062909. The next prime is 42816062969. The reversal of 42816062952 is 25926061824.

42816062952 is a `hidden beast` number, since 4 + 2 + 8 + 16 + 0 + 629 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34889009796 + 7927053156 = 186786^2 + 89034^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42816062898 and 42816062907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740598 + ... + 796314.

Almost surely, 2^42816062952 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 42816062952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62517267540).

42816062952 is an abundant number, since it is smaller than the sum of its proper divisors (82218472128).

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

42816062952 is a wasteful number, since it uses less digits than its factorization.

42816062952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56563 (or 56556 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 42816062952 in words is "forty-two billion, eight hundred sixteen million, sixty-two thousand, nine hundred fifty-two".