4080209180096 has 336 divisors, whose sum is σ = 10033254000000. Its totient is φ = 1636837300224.

The previous prime is 4080209180027. The next prime is 4080209180107. The reversal of 4080209180096 is 6900819020804.

It is a self number, because there is not a number n which added to its sum of digits gives 4080209180096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3240832715 + ... + 3240833973.

It is an arithmetic number, because the mean of its divisors is an integer number (29860875000).

Almost surely, 2^{4080209180096} 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 4080209180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016627000000).

4080209180096 is an abundant number, since it is smaller than the sum of its proper divisors (5953044819904).

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

4080209180096 is a wasteful number, since it uses less digits than its factorization.

4080209180096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 47.

The spelling of 4080209180096 in words is "four trillion, eighty billion, two hundred nine million, one hundred eighty thousand, ninety-six".