4332142400144 has 20 divisors (see below), whose sum is σ = 9039181739196. Its totient is φ = 1999450338432.

The previous prime is 4332142400107. The next prime is 4332142400171. The reversal of 4332142400144 is 4410042412334.

4332142400144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2877976531600 + 1454165868544 = 1696460^2 + 1205888^2 .

It is a super-2 number, since 2×4332142400144² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4332142400144.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10413803639 + ... + 10413804054.

Almost surely, 2^{4332142400144} is an apocalyptic number.

It is an amenable number.

4332142400144 is an abundant number, since it is smaller than the sum of its proper divisors (4707039339052).

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

4332142400144 is a wasteful number, since it uses less digits than its factorization.

4332142400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20827607714 (or 20827607708 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4332142400144 its reverse (4410042412334), we get a palindrome (8742184812478).

The spelling of 4332142400144 in words is "four trillion, three hundred thirty-two billion, one hundred forty-two million, four hundred thousand, one hundred forty-four".