4082082407424 has 1760 divisors, whose sum is σ = 15378628235520. Its totient is φ = 1052595191808.

The previous prime is 4082082407383. The next prime is 4082082407437. The reversal of 4082082407424 is 4247042802804.

It is a self number, because there is not a number n which added to its sum of digits gives 4082082407424.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29796221884 + ... + 29796222020.

It is an arithmetic number, because the mean of its divisors is an integer number (8737856952).

Almost surely, 2^{4082082407424} 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 4082082407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689314117760).

4082082407424 is an abundant number, since it is smaller than the sum of its proper divisors (11296545828096).

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

4082082407424 is a wasteful number, since it uses less digits than its factorization.

4082082407424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 45.

It can be divided in two parts, 4082082 and 407424, that added together give a triangular number (4489506 = T₂₉₉₆).

The spelling of 4082082407424 in words is "four trillion, eighty-two billion, eighty-two million, four hundred seven thousand, four hundred twenty-four".