4087129536 has 112 divisors (see below), whose sum is σ = 13731930880. Its totient is φ = 1167747840.

The previous prime is 4087129513. The next prime is 4087129561. The reversal of 4087129536 is 6359217804.

4087129536 is a `hidden beast` number, since 40 + 8 + 71 + 2 + 9 + 536 = 666.

4087129536 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

4087129536 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4087129491 and 4087129500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156850 + ... + 181041.

It is a 1-persistent number, because it is pandigital, but 2⋅4087129536 = 8174259072 is not.

Almost surely, 2^4087129536 is an apocalyptic number.

It is an amenable number.

4087129536 is an abundant number, since it is smaller than the sum of its proper divisors (9644801344).

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

4087129536 is a wasteful number, since it uses less digits than its factorization.

4087129536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337919 (or 337903 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4087129536 is about 63930.6619393230. The cubic root of 4087129536 is about 1598.8441568844.

It can be divided in two parts, 40871 and 29536, that added together give a palindrome (70407).

The spelling of 4087129536 in words is "four billion, eighty-seven million, one hundred twenty-nine thousand, five hundred thirty-six".