142444133404240 has 80 divisors (see below), whose sum is σ = 333585395418240. Its totient is φ = 56564320550400.

The previous prime is 142444133404231. The next prime is 142444133404259. The reversal of 142444133404240 is 42404331444241.

142444133404240 is digitally balanced in base 3, 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 (80).

It is a super-3 number, since 3×142444133404240³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 142444133404193 and 142444133404202.

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 15 ways as a sum of consecutive naturals, for example, 187560157 + ... + 188318083.

It is an arithmetic number, because the mean of its divisors is an integer number (4169817442728).

Almost surely, 2^{142444133404240} is an apocalyptic number.

142444133404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142444133404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166792697709120).

142444133404240 is an abundant number, since it is smaller than the sum of its proper divisors (191141262014000).

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

142444133404240 is a wasteful number, since it uses less digits than its factorization.

142444133404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774980 (or 774974 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 142444133404240 its reverse (42404331444241), we get a palindrome (184848464848481).

The spelling of 142444133404240 in words is "one hundred forty-two trillion, four hundred forty-four billion, one hundred thirty-three million, four hundred four thousand, two hundred forty".