4001131134 has 128 divisors (see below), whose sum is σ = 11938268160. Its totient is φ = 959299200.

The previous prime is 4001131133. The next prime is 4001131139. The reversal of 4001131134 is 4311311004.

4001131134 is a `hidden beast` number, since 400 + 1 + 131 + 134 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001131133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17044 + ... + 91064.

It is an arithmetic number, because the mean of its divisors is an integer number (93267720).

Almost surely, 2^4001131134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001131134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969134080).

4001131134 is an abundant number, since it is smaller than the sum of its proper divisors (7937137026).

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

4001131134 is a wasteful number, since it uses less digits than its factorization.

4001131134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74063 (or 74057 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4001131134 is about 63254.4949707133. The cubic root of 4001131134 is about 1587.5506681412.

Adding to 4001131134 its reverse (4311311004), we get a palindrome (8312442138).

The spelling of 4001131134 in words is "four billion, one million, one hundred thirty-one thousand, one hundred thirty-four".