4080944160 has 288 divisors, whose sum is σ = 14773933440. Its totient is φ = 1052075520.

The previous prime is 4080944123. The next prime is 4080944167. The reversal of 4080944160 is 614490804.

It is a happy number.

4080944160 is a `hidden beast` number, since 408 + 0 + 94 + 4 + 160 = 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 (36).

It is not an unprimeable number, because it can be changed into a prime (4080944167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4151029 + ... + 4152011.

It is an arithmetic number, because the mean of its divisors is an integer number (51298380).

Almost surely, 2^4080944160 is an apocalyptic number.

4080944160 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 4080944160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7386966720).

4080944160 is an abundant number, since it is smaller than the sum of its proper divisors (10692989280).

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

4080944160 is a wasteful number, since it uses less digits than its factorization.

4080944160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4080944160 is about 63882.2679622444. The cubic root of 4080944160 is about 1598.0371972797.

The spelling of 4080944160 in words is "four billion, eighty million, nine hundred forty-four thousand, one hundred sixty".