4080545685216 has 1152 divisors, whose sum is σ = 16819069962240. Its totient is φ = 903503462400.

The previous prime is 4080545685211. The next prime is 4080545685217. The reversal of 4080545685216 is 6125865450804.

4080545685216 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 54 + 5 + 68 + 521 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080545685211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192277486 + ... + 192298706.

It is an arithmetic number, because the mean of its divisors is an integer number (14599887120).

Almost surely, 2^{4080545685216} is an apocalyptic number.

4080545685216 is a gapful number since it is divisible by the number (46) 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 4080545685216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8409534981120).

4080545685216 is an abundant number, since it is smaller than the sum of its proper divisors (12738524277024).

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

4080545685216 is a wasteful number, since it uses less digits than its factorization.

4080545685216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21320 (or 21309 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 4080545685216 in words is "four trillion, eighty billion, five hundred forty-five million, six hundred eighty-five thousand, two hundred sixteen".