4134281800 has 96 divisors (see below), whose sum is σ = 10569323520. Its totient is φ = 1491436800.

The previous prime is 4134281777. The next prime is 4134281831. The reversal of 4134281800 is 81824314.

It is a super-2 number, since 2×4134281800² = 34184572003622480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272002 + ... + 286798.

It is an arithmetic number, because the mean of its divisors is an integer number (110097120).

Almost surely, 2^4134281800 is an apocalyptic number.

4134281800 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 4134281800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284661760).

4134281800 is an abundant number, since it is smaller than the sum of its proper divisors (6435041720).

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

4134281800 is a wasteful number, since it uses less digits than its factorization.

4134281800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14951 (or 14942 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 4134281800 is about 64298.3810060564. The cubic root of 4134281800 is about 1604.9691605504.

The spelling of 4134281800 in words is "four billion, one hundred thirty-four million, two hundred eighty-one thousand, eight hundred".