144404033040 has 120 divisors (see below), whose sum is σ = 502918311168. Its totient is φ = 38507736960.

The previous prime is 144404033023. The next prime is 144404033057. The reversal of 144404033040 is 40330404441.

144404033040 is digitally balanced in base 3, 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 (144404033023) and next prime (144404033057).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144404032995 and 144404033013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3694656 + ... + 3733535.

Almost surely, 2^144404033040 is an apocalyptic number.

144404033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144404033040 is an abundant number, since it is smaller than the sum of its proper divisors (358514278128).

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

144404033040 is an equidigital number, since it uses as much as digits as its factorization.

144404033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428219 (or 7428201 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 144404033040 its reverse (40330404441), we get a palindrome (184734437481).

The spelling of 144404033040 in words is "one hundred forty-four billion, four hundred four million, thirty-three thousand, forty".