4089062880 has 288 divisors, whose sum is σ = 16168711104. Its totient is φ = 921673728.

The previous prime is 4089062849. The next prime is 4089062947. The reversal of 4089062880 is 882609804.

It is a happy number.

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

It is a super-3 number, since 3×4089062880³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733062 + ... + 738618.

It is an arithmetic number, because the mean of its divisors is an integer number (56141358).

Almost surely, 2^4089062880 is an apocalyptic number.

4089062880 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 4089062880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084355552).

4089062880 is an abundant number, since it is smaller than the sum of its proper divisors (12079648224).

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

4089062880 is a wasteful number, since it uses less digits than its factorization.

4089062880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4089062880 is about 63945.7807834106. The cubic root of 4089062880 is about 1599.0962187499.

The spelling of 4089062880 in words is "four billion, eighty-nine million, sixty-two thousand, eight hundred eighty".