4085976960 has 768 divisors, whose sum is σ = 16467010560. Its totient is φ = 961486848.

The previous prime is 4085976959. The next prime is 4085976989. The reversal of 4085976960 is 696795804.

4085976960 is a `hidden beast` number, since 40 + 8 + 597 + 6 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4085976897 and 4085976906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86935657 + ... + 86935703.

It is an arithmetic number, because the mean of its divisors is an integer number (21441420).

Almost surely, 2^4085976960 is an apocalyptic number.

4085976960 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 4085976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8233505280).

4085976960 is an abundant number, since it is smaller than the sum of its proper divisors (12381033600).

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

4085976960 is a wasteful number, since it uses less digits than its factorization.

4085976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 4085976960 is about 63921.6470376038. The cubic root of 4085976960 is about 1598.6938506906.

The spelling of 4085976960 in words is "four billion, eighty-five million, nine hundred seventy-six thousand, nine hundred sixty".