144302142443040 has 72 divisors (see below), whose sum is σ = 492431061091788. Its totient is φ = 38480571317760.

The previous prime is 144302142443029. The next prime is 144302142443051. The reversal of 144302142443040 is 40344241203441.

144302142443040 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 0 + 214 + 2 + 4 + 430 + 4 + 0 = 666.

144302142443040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144302142443029) and next prime (144302142443051).

It can be written as a sum of positive squares in 2 ways, for example, as 143984736404496 + 317406038544 = 11999364^2 + 563388^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 144302142442986 and 144302142443004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50104909131 + ... + 50104912010.

Almost surely, 2^{144302142443040} is an apocalyptic number.

144302142443040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144302142443040 is an abundant number, since it is smaller than the sum of its proper divisors (348128918648748).

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

144302142443040 is a wasteful number, since it uses less digits than its factorization.

144302142443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100209821162 (or 100209821151 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 144302142443040 its reverse (40344241203441), we get a palindrome (184646383646481).

The spelling of 144302142443040 in words is "one hundred forty-four trillion, three hundred two billion, one hundred forty-two million, four hundred forty-three thousand, forty".