4137344128 has 32 divisors (see below), whose sum is σ = 8727214860. Its totient is φ = 1946984448.

The previous prime is 4137344117. The next prime is 4137344129. The reversal of 4137344128 is 8214437314.

4137344128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3465912384 + 671431744 = 58872^2 + 25912^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (4137344129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 948501 + ... + 952852.

Almost surely, 2^4137344128 is an apocalyptic number.

It is an amenable number.

4137344128 is an abundant number, since it is smaller than the sum of its proper divisors (4589870732).

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

4137344128 is a wasteful number, since it uses less digits than its factorization.

4137344128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901384 (or 1901372 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 4137344128 is about 64322.1900124677. The cubic root of 4137344128 is about 1605.3653381060.

The spelling of 4137344128 in words is "four billion, one hundred thirty-seven million, three hundred forty-four thousand, one hundred twenty-eight".