4081488960 has 224 divisors, whose sum is σ = 13248997632. Its totient is φ = 1064304640.

The previous prime is 4081488959. The next prime is 4081488973. The reversal of 4081488960 is 698841804.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 15881152 + ... + 15881408.

Almost surely, 2^4081488960 is an apocalyptic number.

4081488960 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 4081488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6624498816).

4081488960 is an abundant number, since it is smaller than the sum of its proper divisors (9167508672).

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

4081488960 is a wasteful number, since it uses less digits than its factorization.

4081488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 4081488960 is about 63886.5319140114. The cubic root of 4081488960 is about 1598.1083059817.

The spelling of 4081488960 in words is "four billion, eighty-one million, four hundred eighty-eight thousand, nine hundred sixty".