4400120004 has 96 divisors (see below), whose sum is σ = 12207283200. Its totient is φ = 1206925440.

The previous prime is 4400119987. The next prime is 4400120009. The reversal of 4400120004 is 4000210044.

It is a super-2 number, since 2×4400120004² = 38722112099201920032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4400120009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430999 + ... + 441089.

It is an arithmetic number, because the mean of its divisors is an integer number (127159200).

Almost surely, 2^4400120004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400120004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103641600).

4400120004 is an abundant number, since it is smaller than the sum of its proper divisors (7807163196).

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

4400120004 is a wasteful number, since it uses less digits than its factorization.

4400120004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10313 (or 10311 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4400120004 is about 66333.4003651253. The cubic root of 4400120004 is about 1638.6574383128.

Adding to 4400120004 its reverse (4000210044), we get a palindrome (8400330048).

The spelling of 4400120004 in words is "four billion, four hundred million, one hundred twenty thousand, four".