1004002444401 has 16 divisors (see below), whose sum is σ = 1460738880768. Its totient is φ = 608331459600.

The previous prime is 1004002444399. The next prime is 1004002444421. The reversal of 1004002444401 is 1044442004001.

It is a happy number.

It is not a de Polignac number, because 1004002444401 - 2¹ = 1004002444399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004002444421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3740071 + ... + 3999516.

It is an arithmetic number, because the mean of its divisors is an integer number (91296180048).

Almost surely, 2^{1004002444401} is an apocalyptic number.

1004002444401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1004002444401 is a deficient number, since it is larger than the sum of its proper divisors (456736436367).

1004002444401 is a wasteful number, since it uses less digits than its factorization.

1004002444401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7743532.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1004002444401 its reverse (1044442004001), we get a palindrome (2048444448402).

The spelling of 1004002444401 in words is "one trillion, four billion, two million, four hundred forty-four thousand, four hundred one".