4082931072 has 288 divisors, whose sum is σ = 13681853640. Its totient is φ = 1163796480.

The previous prime is 4082931059. The next prime is 4082931079. The reversal of 4082931072 is 2701392804.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4082931072² = 33340652277406138368, which contains 22 as substring.

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 (4082931079) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2368803 + ... + 2370525.

Almost surely, 2^4082931072 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 4082931072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840926820).

4082931072 is an abundant number, since it is smaller than the sum of its proper divisors (9598922568).

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

4082931072 is a wasteful number, since it uses less digits than its factorization.

4082931072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4082931072 is about 63897.8174275147. The cubic root of 4082931072 is about 1598.2965036229.

The spelling of 4082931072 in words is "four billion, eighty-two million, nine hundred thirty-one thousand, seventy-two".