440042340168 has 48 divisors (see below), whose sum is σ = 1192143018300. Its totient is φ = 146636265600.

The previous prime is 440042340167. The next prime is 440042340193. The reversal of 440042340168 is 861043240044.

440042340168 is a `hidden beast` number, since 4 + 400 + 4 + 234 + 0 + 16 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 379281076164 + 60761264004 = 615858^2 + 246498^2 .

It is a super-2 number, since 2×440042340168² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (440042340167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 688063 + ... + 1163406.

Almost surely, 2^440042340168 is an apocalyptic number.

It is an amenable number.

440042340168 is an abundant number, since it is smaller than the sum of its proper divisors (752100678132).

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

440042340168 is a wasteful number, since it uses less digits than its factorization.

440042340168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854782 (or 1854775 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 440042340168 in words is "four hundred forty billion, forty-two million, three hundred forty thousand, one hundred sixty-eight".