42264144450 has 108 divisors (see below), whose sum is σ = 124810952994. Its totient is φ = 10245840000.

The previous prime is 42264144421. The next prime is 42264144457. The reversal of 42264144450 is 5444146224.

42264144450 is a `hidden beast` number, since 4 + 2 + 2 + 64 + 144 + 450 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18909275121 + 23354869329 = 137511^2 + 152823^2 .

It is a super-3 number, since 3×42264144450³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42264144457) 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 53 ways as a sum of consecutive naturals, for example, 333651 + ... + 442550.

Almost surely, 2^42264144450 is an apocalyptic number.

42264144450 is an abundant number, since it is smaller than the sum of its proper divisors (82546808544).

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

42264144450 is a wasteful number, since it uses less digits than its factorization.

42264144450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776241 (or 776222 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 42264144450 in words is "forty-two billion, two hundred sixty-four million, one hundred forty-four thousand, four hundred fifty".