2042400404004 has 12 divisors (see below), whose sum is σ = 4765600942704. Its totient is φ = 680800134664.

The previous prime is 2042400403997. The next prime is 2042400404027. The reversal of 2042400404004 is 4004040042402.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 85100016822 + ... + 85100016845.

It is an arithmetic number, because the mean of its divisors is an integer number (397133411892).

Almost surely, 2^{2042400404004} is an apocalyptic number.

It is an amenable number.

2042400404004 is an abundant number, since it is smaller than the sum of its proper divisors (2723200538700).

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

2042400404004 is a wasteful number, since it uses less digits than its factorization.

2042400404004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170200033674 (or 170200033672 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2042400404004 its reverse (4004040042402), we get a palindrome (6046440446406).

The spelling of 2042400404004 in words is "two trillion, forty-two billion, four hundred million, four hundred four thousand, four".