4138209408 has 32 divisors (see below), whose sum is σ = 10992119760. Its totient is φ = 1379403008.

The previous prime is 4138209403. The next prime is 4138209409. The reversal of 4138209408 is 8049028314.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (4138209401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5387910 + ... + 5388677.

Almost surely, 2^4138209408 is an apocalyptic number.

4138209408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4138209408 is an abundant number, since it is smaller than the sum of its proper divisors (6853910352).

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

4138209408 is a wasteful number, since it uses less digits than its factorization.

4138209408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10776604 (or 10776592 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4138209408 is about 64328.9157999729. The cubic root of 4138209408 is about 1605.4772451371.

The spelling of 4138209408 in words is "four billion, one hundred thirty-eight million, two hundred nine thousand, four hundred eight".