4004004070734 has 32 divisors (see below), whose sum is σ = 8223823132800. Its totient is φ = 1298922966432.

The previous prime is 4004004070733. The next prime is 4004004070739. The reversal of 4004004070734 is 4370704004004.

It is a junction number, because it is equal to n+sod(n) for n = 4004004070695 and 4004004070704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004004070733) 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, 27941884 + ... + 28084815.

It is an arithmetic number, because the mean of its divisors is an integer number (256994472900).

Almost surely, 2^{4004004070734} is an apocalyptic number.

4004004070734 is an abundant number, since it is smaller than the sum of its proper divisors (4219819062066).

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

4004004070734 is a wasteful number, since it uses less digits than its factorization.

4004004070734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56027024.

The product of its (nonzero) digits is 37632, while the sum is 33.

Adding to 4004004070734 its reverse (4370704004004), we get a palindrome (8374708074738).

The spelling of 4004004070734 in words is "four trillion, four billion, four million, seventy thousand, seven hundred thirty-four".