4138659760 has 80 divisors (see below), whose sum is σ = 9871243200. Its totient is φ = 1613081600.

The previous prime is 4138659757. The next prime is 4138659773. The reversal of 4138659760 is 679568314.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628485 + ... + 635035.

It is an arithmetic number, because the mean of its divisors is an integer number (123390540).

Almost surely, 2^4138659760 is an apocalyptic number.

4138659760 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 4138659760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935621600).

4138659760 is an abundant number, since it is smaller than the sum of its proper divisors (5732583440).

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

4138659760 is a wasteful number, since it uses less digits than its factorization.

4138659760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The square root of 4138659760 is about 64332.4160901796. The cubic root of 4138659760 is about 1605.5354831808.

The spelling of 4138659760 in words is "four billion, one hundred thirty-eight million, six hundred fifty-nine thousand, seven hundred sixty".