4004041120 has 48 divisors (see below), whose sum is σ = 9470909448. Its totient is φ = 1599692800.

The previous prime is 4004041103. The next prime is 4004041163. The reversal of 4004041120 is 211404004.

It can be written as a sum of positive squares in 4 ways, for example, as 3648643216 + 355397904 = 60404^2 + 18852^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4004041094 and 4004041103.

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, 122520 + ... + 151720.

Almost surely, 2^4004041120 is an apocalyptic number.

4004041120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004041120 is an abundant number, since it is smaller than the sum of its proper divisors (5466868328).

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

4004041120 is a wasteful number, since it uses less digits than its factorization.

4004041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30073 (or 30065 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4004041120 is about 63277.4929971155. The cubic root of 4004041120 is about 1587.9354452246.

Adding to 4004041120 its reverse (211404004), we get a palindrome (4215445124).

The spelling of 4004041120 in words is "four billion, four million, forty-one thousand, one hundred twenty".