4082093820 has 672 divisors, whose sum is σ = 16076648448. Its totient is φ = 849885696.

The previous prime is 4082093801. The next prime is 4082093849. The reversal of 4082093820 is 283902804.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 86853037 + ... + 86853083.

It is an arithmetic number, because the mean of its divisors is an integer number (23923584).

Almost surely, 2^4082093820 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 4082093820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038324224).

4082093820 is an abundant number, since it is smaller than the sum of its proper divisors (11994554628).

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

4082093820 is a wasteful number, since it uses less digits than its factorization.

4082093820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4082093820 is about 63891.2656002368. The cubic root of 4082093820 is about 1598.1872464577.

The spelling of 4082093820 in words is "four billion, eighty-two million, ninety-three thousand, eight hundred twenty".