2001404442144 has 48 divisors (see below), whose sum is σ = 5253759862848. Its totient is φ = 667125518592.

The previous prime is 2001404442101. The next prime is 2001404442197. The reversal of 2001404442144 is 4412444041002.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 12353149 + ... + 12514115.

It is an arithmetic number, because the mean of its divisors is an integer number (109453330476).

Almost surely, 2^{2001404442144} is an apocalyptic number.

2001404442144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2001404442144 is an abundant number, since it is smaller than the sum of its proper divisors (3252355420704).

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

2001404442144 is a wasteful number, since it uses less digits than its factorization.

2001404442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290497 (or 290489 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 2001404442144 its reverse (4412444041002), we get a palindrome (6413848483146).

The spelling of 2001404442144 in words is "two trillion, one billion, four hundred four million, four hundred forty-two thousand, one hundred forty-four".