4082445956160 has 2688 divisors, whose sum is σ = 18237609976320. Its totient is φ = 857813483520.

The previous prime is 4082445956129. The next prime is 4082445956191. The reversal of 4082445956160 is 616595442804.

It is a happy number.

4082445956160 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 44 + 595 + 6 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4082445956129) and next prime (4082445956191).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4082445956097 and 4082445956106.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36127840264 + ... + 36127840376.

It is an arithmetic number, because the mean of its divisors is an integer number (6784825140).

Almost surely, 2^{4082445956160} is an apocalyptic number.

4082445956160 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 4082445956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9118804988160).

4082445956160 is an abundant number, since it is smaller than the sum of its proper divisors (14155164020160).

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

4082445956160 is a wasteful number, since it uses less digits than its factorization.

4082445956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 4082445956160 in words is "four trillion, eighty-two billion, four hundred forty-five million, nine hundred fifty-six thousand, one hundred sixty".