4082989680 has 800 divisors, whose sum is σ = 18148838400. Its totient is φ = 843333120.

The previous prime is 4082989657. The next prime is 4082989697. The reversal of 4082989680 is 869892804.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24448957 + ... + 24449123.

It is an arithmetic number, because the mean of its divisors is an integer number (22686048).

Almost surely, 2^4082989680 is an apocalyptic number.

4082989680 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 4082989680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9074419200).

4082989680 is an abundant number, since it is smaller than the sum of its proper divisors (14065848720).

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

4082989680 is a wasteful number, since it uses less digits than its factorization.

4082989680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 4082989680 is about 63898.2760330825. The cubic root of 4082989680 is about 1598.3041511120.

The spelling of 4082989680 in words is "four billion, eighty-two million, nine hundred eighty-nine thousand, six hundred eighty".