42242004044400 has 60 divisors (see below), whose sum is σ = 135315219626072. Its totient is φ = 11264534411520.

The previous prime is 42242004044399. The next prime is 42242004044413. The reversal of 42242004044400 is 444040024224.

42242004044400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17600833819 + ... + 17600836218.

Almost surely, 2^{42242004044400} is an apocalyptic number.

42242004044400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42242004044400 is an abundant number, since it is smaller than the sum of its proper divisors (93073215581672).

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

42242004044400 is a wasteful number, since it uses less digits than its factorization.

42242004044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35201670058 (or 35201670047 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 42242004044400 its reverse (444040024224), we get a palindrome (42686044068624).

The spelling of 42242004044400 in words is "forty-two trillion, two hundred forty-two billion, four million, forty-four thousand, four hundred".