4087812096 has 273 divisors, whose sum is σ = 12596537541. Its totient is φ = 1325776896.

The previous prime is 4087812083. The next prime is 4087812137. The reversal of 4087812096 is 6902187804.

The square root of 4087812096 is 63936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3657830400 + 429981696 = 60480^2 + 20736^2 .

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 110481390 + ... + 110481426.

Almost surely, 2^4087812096 is an apocalyptic number.

4087812096 is the 63936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4087812096

4087812096 is an abundant number, since it is smaller than the sum of its proper divisors (8508725445).

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

4087812096 is an frugal number, since it uses more digits than its factorization.

4087812096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The cubic root of 4087812096 is about 1598.9331554765.

The spelling of 4087812096 in words is "four billion, eighty-seven million, eight hundred twelve thousand, ninety-six".