4066260480 has 320 divisors, whose sum is σ = 14628081600. Its totient is φ = 1070530560.

The previous prime is 4066260439. The next prime is 4066260493. The reversal of 4066260480 is 840626604.

It is a happy number.

4066260480 is a `hidden beast` number, since 40 + 6 + 6 + 2 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6151350 + ... + 6152010.

It is an arithmetic number, because the mean of its divisors is an integer number (45712755).

Almost surely, 2^4066260480 is an apocalyptic number.

4066260480 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 4066260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7314040800).

4066260480 is an abundant number, since it is smaller than the sum of its proper divisors (10561821120).

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

4066260480 is an equidigital number, since it uses as much as digits as its factorization.

4066260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4066260480 is about 63767.2367285897. The cubic root of 4066260480 is about 1596.1182568262.

The spelling of 4066260480 in words is "four billion, sixty-six million, two hundred sixty thousand, four hundred eighty".