4085268480 has 240 divisors, whose sum is σ = 14532819840. Its totient is φ = 1088815104.

The previous prime is 4085268463. The next prime is 4085268493. The reversal of 4085268480 is 848625804.

4085268480 is a `hidden beast` number, since 40 + 8 + 526 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2210917 + ... + 2212763.

It is an arithmetic number, because the mean of its divisors is an integer number (60553416).

Almost surely, 2^4085268480 is an apocalyptic number.

4085268480 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 4085268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266409920).

4085268480 is an abundant number, since it is smaller than the sum of its proper divisors (10447551360).

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

4085268480 is an equidigital number, since it uses as much as digits as its factorization.

4085268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 4085268480 is about 63916.1050127431. The cubic root of 4085268480 is about 1598.6014445495.

The spelling of 4085268480 in words is "four billion, eighty-five million, two hundred sixty-eight thousand, four hundred eighty".