4082158080 has 1280 divisors, whose sum is σ = 19798732800. Its totient is φ = 769720320.

The previous prime is 4082158063. The next prime is 4082158081. The reversal of 4082158080 is 808512804.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082158081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69189091 + ... + 69189149.

It is an arithmetic number, because the mean of its divisors is an integer number (15467760).

Almost surely, 2^4082158080 is an apocalyptic number.

4082158080 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 4082158080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9899366400).

4082158080 is an abundant number, since it is smaller than the sum of its proper divisors (15716574720).

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

4082158080 is a wasteful number, since it uses less digits than its factorization.

4082158080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 4082158080 is about 63891.7684838978. The cubic root of 4082158080 is about 1598.1956325930.

The spelling of 4082158080 in words is "four billion, eighty-two million, one hundred fifty-eight thousand, eighty".