4148076960 has 384 divisors, whose sum is σ = 15469574400. Its totient is φ = 1035141120.

The previous prime is 4148076931. The next prime is 4148076967. The reversal of 4148076960 is 696708414.

4148076960 is a `hidden beast` number, since 41 + 480 + 76 + 9 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4148076967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7961500 + ... + 7962020.

It is an arithmetic number, because the mean of its divisors is an integer number (40285350).

Almost surely, 2^4148076960 is an apocalyptic number.

4148076960 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 4148076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7734787200).

4148076960 is an abundant number, since it is smaller than the sum of its proper divisors (11321497440).

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

4148076960 is a wasteful number, since it uses less digits than its factorization.

4148076960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4148076960 is about 64405.5662190777. The cubic root of 4148076960 is about 1606.7523179566.

The spelling of 4148076960 in words is "four billion, one hundred forty-eight million, seventy-six thousand, nine hundred sixty".