4086936636160 has 144 divisors (see below), whose sum is σ = 11189882088000. Its totient is φ = 1400998330368.

The previous prime is 4086936636137. The next prime is 4086936636197. The reversal of 4086936636160 is 616366396804.

It is a junction number, because it is equal to n+sod(n) for n = 4086936636095 and 4086936636104.

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, 57747676 + ... + 57818404.

It is an arithmetic number, because the mean of its divisors is an integer number (77707514500).

Almost surely, 2^{4086936636160} is an apocalyptic number.

4086936636160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4086936636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594941044000).

4086936636160 is an abundant number, since it is smaller than the sum of its proper divisors (7102945451840).

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

4086936636160 is an equidigital number, since it uses as much as digits as its factorization.

4086936636160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77206 (or 77192 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 58.

The spelling of 4086936636160 in words is "four trillion, eighty-six billion, nine hundred thirty-six million, six hundred thirty-six thousand, one hundred sixty".