4005142210004 has 48 divisors (see below), whose sum is σ = 7581511612416. Its totient is φ = 1840375555200.

The previous prime is 4005142209977. The next prime is 4005142210039. The reversal of 4005142210004 is 4000122415004.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10562669 + ... + 10935275.

It is an arithmetic number, because the mean of its divisors is an integer number (157948158592).

Almost surely, 2^{4005142210004} is an apocalyptic number.

It is an amenable number.

4005142210004 is a deficient number, since it is larger than the sum of its proper divisors (3576369402412).

4005142210004 is a wasteful number, since it uses less digits than its factorization.

4005142210004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373536 (or 373534 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 4005142210004 its reverse (4000122415004), we get a palindrome (8005264625008).

The spelling of 4005142210004 in words is "four trillion, five billion, one hundred forty-two million, two hundred ten thousand, four".