4138024720 has 40 divisors (see below), whose sum is σ = 9691158744. Its totient is φ = 1643123712.

The previous prime is 4138024717. The next prime is 4138024771. The reversal of 4138024720 is 274208314.

It can be written as a sum of positive squares in 4 ways, for example, as 19465744 + 4118558976 = 4412^2 + 64176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177819 + ... + 199738.

Almost surely, 2^4138024720 is an apocalyptic number.

4138024720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4138024720 is an abundant number, since it is smaller than the sum of its proper divisors (5553134024).

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

4138024720 is a wasteful number, since it uses less digits than its factorization.

4138024720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377707 (or 377701 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 4138024720 is about 64327.4802864219. The cubic root of 4138024720 is about 1605.4533606689.

The spelling of 4138024720 in words is "four billion, one hundred thirty-eight million, twenty-four thousand, seven hundred twenty".