4004201120 has 24 divisors (see below), whose sum is σ = 9459925524. Its totient is φ = 1601680384.

The previous prime is 4004201111. The next prime is 4004201137. The reversal of 4004201120 is 211024004.

It can be written as a sum of positive squares in 2 ways, for example, as 3857403664 + 146797456 = 62108^2 + 12116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4004201095 and 4004201104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12512969 + ... + 12513288.

Almost surely, 2^4004201120 is an apocalyptic number.

4004201120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004201120 is an abundant number, since it is smaller than the sum of its proper divisors (5455724404).

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

4004201120 is a wasteful number, since it uses less digits than its factorization.

4004201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25026272 (or 25026264 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4004201120 is about 63278.7572570764. The cubic root of 4004201120 is about 1587.9565960469.

Adding to 4004201120 its reverse (211024004), we get a palindrome (4215225124).

The spelling of 4004201120 in words is "four billion, four million, two hundred one thousand, one hundred twenty".