4004201136 has 80 divisors (see below), whose sum is σ = 11265216480. Its totient is φ = 1218201600.

The previous prime is 4004201111. The next prime is 4004201137. The reversal of 4004201136 is 6311024004.

4004201136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4004201137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19486 + ... + 91586.

It is an arithmetic number, because the mean of its divisors is an integer number (140815206).

Almost surely, 2^4004201136 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 4004201136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632608240).

4004201136 is an abundant number, since it is smaller than the sum of its proper divisors (7261015344).

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

4004201136 is a wasteful number, since it uses less digits than its factorization.

4004201136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72214 (or 72208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4004201136 is about 63278.7573835011. The cubic root of 4004201136 is about 1587.9565981620.

The spelling of 4004201136 in words is "four billion, four million, two hundred one thousand, one hundred thirty-six".