4138885008 has 120 divisors (see below), whose sum is σ = 12333569976. Its totient is φ = 1291161600.

The previous prime is 4138884961. The next prime is 4138885031. The reversal of 4138885008 is 8005888314.

4138885008 is a `hidden beast` number, since 4 + 138 + 8 + 8 + 500 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38787984 + 4100097024 = 6228^2 + 64032^2 .

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, 438418 + ... + 447758.

Almost surely, 2^4138885008 is an apocalyptic number.

4138885008 is a gapful number since it is divisible by the number (48) 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 4138885008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6166784988).

4138885008 is an abundant number, since it is smaller than the sum of its proper divisors (8194684968).

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

4138885008 is a wasteful number, since it uses less digits than its factorization.

4138885008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9553 (or 9544 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 4138885008 is about 64334.1667234449. The cubic root of 4138885008 is about 1605.5646099285.

The spelling of 4138885008 in words is "four billion, one hundred thirty-eight million, eight hundred eighty-five thousand, eight".