4089061440 has 560 divisors, whose sum is σ = 16021019520. Its totient is φ = 988111872.

The previous prime is 4089061439. The next prime is 4089061469. The reversal of 4089061440 is 441609804.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4089061395 and 4089061404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 177785269 + ... + 177785291.

Almost surely, 2^4089061440 is an apocalyptic number.

4089061440 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 4089061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8010509760).

4089061440 is an abundant number, since it is smaller than the sum of its proper divisors (11931958080).

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

4089061440 is an equidigital number, since it uses as much as digits as its factorization.

4089061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 52 counting only the distinct ones).

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

The square root of 4089061440 is about 63945.7695238708. The cubic root of 4089061440 is about 1599.0960310379.

The spelling of 4089061440 in words is "four billion, eighty-nine million, sixty-one thousand, four hundred forty".