4094361596160 has 288 divisors, whose sum is σ = 15850143711360. Its totient is φ = 992572416000.

The previous prime is 4094361596147. The next prime is 4094361596261. The reversal of 4094361596160 is 616951634904.

It is a happy number.

4094361596160 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 3 + 6 + 15 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4094361596097 and 4094361596106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5004891 + ... + 5765210.

It is an arithmetic number, because the mean of its divisors is an integer number (55035221220).

Almost surely, 2^{4094361596160} is an apocalyptic number.

4094361596160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4094361596160 is an abundant number, since it is smaller than the sum of its proper divisors (11755782115200).

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

4094361596160 is a wasteful number, since it uses less digits than its factorization.

4094361596160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10770142 (or 10770122 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 4094361596160 in words is "four trillion, ninety-four billion, three hundred sixty-one million, five hundred ninety-six thousand, one hundred sixty".