4137749756 has 48 divisors (see below), whose sum is σ = 8360174592. Its totient is φ = 1755249600.

The previous prime is 4137749747. The next prime is 4137749767. The reversal of 4137749756 is 6579477314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4137749698 and 4137749707.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1689725 + ... + 1692171.

It is an arithmetic number, because the mean of its divisors is an integer number (174170304).

Almost surely, 2^4137749756 is an apocalyptic number.

It is an amenable number.

4137749756 is an abundant number, since it is smaller than the sum of its proper divisors (4222424836).

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

4137749756 is a wasteful number, since it uses less digits than its factorization.

4137749756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3048 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 53.

The square root of 4137749756 is about 64325.3430305661. The cubic root of 4137749756 is about 1605.4178000906.

The spelling of 4137749756 in words is "four billion, one hundred thirty-seven million, seven hundred forty-nine thousand, seven hundred fifty-six".