4080201600384 has 2304 divisors, whose sum is σ = 16089196032000. Its totient is φ = 1027118776320.

The previous prime is 4080201600337. The next prime is 4080201600403. The reversal of 4080201600384 is 4830061020804.

4080201600384 is a `hidden beast` number, since 40 + 8 + 0 + 2 + 0 + 1 + 600 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55893172572 + ... + 55893172644.

It is an arithmetic number, because the mean of its divisors is an integer number (6983158000).

Almost surely, 2^{4080201600384} 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 4080201600384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8044598016000).

4080201600384 is an abundant number, since it is smaller than the sum of its proper divisors (12008994431616).

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

4080201600384 is an equidigital number, since it uses as much as digits as its factorization.

4080201600384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 4080201600384 in words is "four trillion, eighty billion, two hundred one million, six hundred thousand, three hundred eighty-four".