4002134200 has 96 divisors (see below), whose sum is σ = 9478188000. Its totient is φ = 1571328000.

The previous prime is 4002134137. The next prime is 4002134207. The reversal of 4002134200 is 24312004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002134207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2687056 + ... + 2688544.

It is an arithmetic number, because the mean of its divisors is an integer number (98731125).

Almost surely, 2^4002134200 is an apocalyptic number.

4002134200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739094000).

4002134200 is an abundant number, since it is smaller than the sum of its proper divisors (5476053800).

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

4002134200 is a wasteful number, since it uses less digits than its factorization.

4002134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4002134200 is about 63262.4232858654. The cubic root of 4002134200 is about 1587.6833210497.

Adding to 4002134200 its reverse (24312004), we get a palindrome (4026446204).

The spelling of 4002134200 in words is "four billion, two million, one hundred thirty-four thousand, two hundred".