4138099200 has 360 divisors, whose sum is σ = 15687659988. Its totient is φ = 1038090240.

The previous prime is 4138099193. The next prime is 4138099219. The reversal of 4138099200 is 29908314.

It can be written as a sum of positive squares in 6 ways, for example, as 669360384 + 3468738816 = 25872^2 + 58896^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1957344 + ... + 1959456.

Almost surely, 2^4138099200 is an apocalyptic number.

4138099200 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 4138099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7843829994).

4138099200 is an abundant number, since it is smaller than the sum of its proper divisors (11549560788).

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

4138099200 is a wasteful number, since it uses less digits than its factorization.

4138099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4138099200 is about 64328.0591965901. The cubic root of 4138099200 is about 1605.4629927565.

The spelling of 4138099200 in words is "four billion, one hundred thirty-eight million, ninety-nine thousand, two hundred".