4004020111300 has 54 divisors (see below), whose sum is σ = 9550415271194. Its totient is φ = 1456007308800.

The previous prime is 4004020111271. The next prime is 4004020111303. The reversal of 4004020111300 is 31110204004.

It can be written as a sum of positive squares in 3 ways, for example, as 959776821124 + 3044243290176 = 979682^2 + 1744776^2 .

It is not an unprimeable number, because it can be changed into a prime (4004020111303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 165443277 + ... + 165467476.

Almost surely, 2^{4004020111300} is an apocalyptic number.

It is an amenable number.

4004020111300 is an abundant number, since it is smaller than the sum of its proper divisors (5546395159894).

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

4004020111300 is a wasteful number, since it uses less digits than its factorization.

4004020111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330910789 (or 330910771 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 4004020111300 its reverse (31110204004), we get a palindrome (4035130315304).

The spelling of 4004020111300 in words is "four trillion, four billion, twenty million, one hundred eleven thousand, three hundred".