4080284221760 has 112 divisors (see below), whose sum is σ = 10049792643072. Its totient is φ = 1576846233600.

The previous prime is 4080284221729. The next prime is 4080284221771. The reversal of 4080284221760 is 671224820804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158336 + ... + 2861055.

It is an arithmetic number, because the mean of its divisors is an integer number (89730291456).

Almost surely, 2^{4080284221760} is an apocalyptic number.

4080284221760 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 4080284221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5024896321536).

4080284221760 is an abundant number, since it is smaller than the sum of its proper divisors (5969508421312).

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

4080284221760 is a wasteful number, since it uses less digits than its factorization.

4080284221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019552 (or 3019542 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 44.

The spelling of 4080284221760 in words is "four trillion, eighty billion, two hundred eighty-four million, two hundred twenty-one thousand, seven hundred sixty".