4004334004 has 24 divisors (see below), whose sum is σ = 7736748768. Its totient is φ = 1798220640.

The previous prime is 4004333989. The next prime is 4004334011.

It is a happy number.

4004334004 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544587 + ... + 551890.

It is an arithmetic number, because the mean of its divisors is an integer number (322364532).

Almost surely, 2^4004334004 is an apocalyptic number.

4004334004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4004334004 is a deficient number, since it is larger than the sum of its proper divisors (3732414764).

4004334004 is a wasteful number, since it uses less digits than its factorization.

4004334004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096575 (or 1096573 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4004334004 is about 63279.8072373802. The cubic root of 4004334004 is about 1587.9741619054.

It can be divided in two parts, 40043 and 34004, that added together give a palindrome (74047).

The spelling of 4004334004 in words is "four billion, four million, three hundred thirty-four thousand, four".