4086934340328 has 144 divisors (see below), whose sum is σ = 12897359207460. Its totient is φ = 1165752000000.

The previous prime is 4086934340311. The next prime is 4086934340329. The reversal of 4086934340328 is 8230434396804.

4086934340328 is a `hidden beast` number, since 40 + 86 + 93 + 434 + 0 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3893526132804 + 193408207524 = 1973202^2 + 439782^2 .

It is not an unprimeable number, because it can be changed into a prime (4086934340329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1156578 + ... + 3084078.

Almost surely, 2^{4086934340328} 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 4086934340328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448679603730).

4086934340328 is an abundant number, since it is smaller than the sum of its proper divisors (8810424867132).

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

4086934340328 is a wasteful number, since it uses less digits than its factorization.

4086934340328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928128 (or 1928114 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 4086934340328 in words is "four trillion, eighty-six billion, nine hundred thirty-four million, three hundred forty thousand, three hundred twenty-eight".