4138771000 has 128 divisors (see below), whose sum is σ = 11919922560. Its totient is φ = 1309824000.

The previous prime is 4138770997. The next prime is 4138771001. The reversal of 4138771000 is 1778314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138771001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68260 + ... + 113740.

It is an arithmetic number, because the mean of its divisors is an integer number (93124395).

Almost surely, 2^4138771000 is an apocalyptic number.

4138771000 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 4138771000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959961280).

4138771000 is an abundant number, since it is smaller than the sum of its proper divisors (7781151560).

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

4138771000 is a wasteful number, since it uses less digits than its factorization.

4138771000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45522 (or 45508 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 4138771000 is about 64333.2806562824. The cubic root of 4138771000 is about 1605.5498677221.

The spelling of 4138771000 in words is "four billion, one hundred thirty-eight million, seven hundred seventy-one thousand".