4132649136 has 480 divisors, whose sum is σ = 14603493888. Its totient is φ = 977633280.

The previous prime is 4132649107. The next prime is 4132649137. The reversal of 4132649136 is 6319462314.

4132649136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4132649094 and 4132649103.

It is not an unprimeable number, because it can be changed into a prime (4132649137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56611596 + ... + 56611668.

Almost surely, 2^4132649136 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 4132649136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7301746944).

4132649136 is an abundant number, since it is smaller than the sum of its proper divisors (10470844752).

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

4132649136 is a wasteful number, since it uses less digits than its factorization.

4132649136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 4132649136 is about 64285.6837561832. The cubic root of 4132649136 is about 1604.7578606191.

The spelling of 4132649136 in words is "four billion, one hundred thirty-two million, six hundred forty-nine thousand, one hundred thirty-six".