4004410010034 has 48 divisors (see below), whose sum is σ = 9864404983008. Its totient is φ = 1076816135808.

The previous prime is 4004410010021. The next prime is 4004410010063. The reversal of 4004410010034 is 4300100144004.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400596244 + ... + 400606239.

It is an arithmetic number, because the mean of its divisors is an integer number (205508437146).

Almost surely, 2^{4004410010034} is an apocalyptic number.

4004410010034 is an abundant number, since it is smaller than the sum of its proper divisors (5859994972974).

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

4004410010034 is a wasteful number, since it uses less digits than its factorization.

4004410010034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801202519 (or 801202512 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 4004410010034 its reverse (4300100144004), we get a palindrome (8304510154038).

The spelling of 4004410010034 in words is "four trillion, four billion, four hundred ten million, ten thousand, thirty-four".