4138911488 has 72 divisors (see below), whose sum is σ = 8517642336. Its totient is φ = 2006323200.

The previous prime is 4138911487. The next prime is 4138911529. The reversal of 4138911488 is 8841198314.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138911487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1106870 + ... + 1110602.

It is an arithmetic number, because the mean of its divisors is an integer number (118300588).

Almost surely, 2^4138911488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138911488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258821168).

4138911488 is an abundant number, since it is smaller than the sum of its proper divisors (4378730848).

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

4138911488 is an equidigital number, since it uses as much as digits as its factorization.

4138911488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3867 counting only the distinct ones).

The product of its digits is 221184, while the sum is 47.

The square root of 4138911488 is about 64334.3725235585. The cubic root of 4138911488 is about 1605.5680339795.

The spelling of 4138911488 in words is "four billion, one hundred thirty-eight million, nine hundred eleven thousand, four hundred eighty-eight".