42767894416 has 135 divisors (see below), whose sum is σ = 92926922553. Its totient is φ = 19059056640.

The previous prime is 42767894401. The next prime is 42767894419. The reversal of 42767894416 is 61449876724.

It is a happy number.

The square root of 42767894416 is 206804.

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

It can be written as a sum of positive squares in 13 ways, for example, as 40724854416 + 2043040000 = 201804^2 + 45200^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42767894419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 440906080 + ... + 440906176.

Almost surely, 2^42767894416 is an apocalyptic number.

42767894416 is the 206804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42767894416

42767894416 is an abundant number, since it is smaller than the sum of its proper divisors (50159028137).

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

42767894416 is an equidigital number, since it uses as much as digits as its factorization.

42767894416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 153 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 58.

The spelling of 42767894416 in words is "forty-two billion, seven hundred sixty-seven million, eight hundred ninety-four thousand, four hundred sixteen".