4002134304 has 192 divisors, whose sum is σ = 12567695616. Its totient is φ = 1091211264.

The previous prime is 4002134291. The next prime is 4002134309. The reversal of 4002134304 is 4034312004.

4002134304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4002134309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1316274 + ... + 1319310.

It is an arithmetic number, because the mean of its divisors is an integer number (65456748).

Almost surely, 2^4002134304 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 4002134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283847808).

4002134304 is an abundant number, since it is smaller than the sum of its proper divisors (8565561312).

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

4002134304 is a wasteful number, since it uses less digits than its factorization.

4002134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4002134304 is about 63262.4241078383. The cubic root of 4002134304 is about 1587.6833348023.

Adding to 4002134304 its reverse (4034312004), we get a palindrome (8036446308).

The spelling of 4002134304 in words is "four billion, two million, one hundred thirty-four thousand, three hundred four".