4148220960 has 576 divisors, whose sum is σ = 16093310688. Its totient is φ = 966131712.

The previous prime is 4148220953. The next prime is 4148220977. The reversal of 4148220960 is 690228414.

It can be written as a sum of positive squares in 16 ways, for example, as 83393424 + 4064827536 = 9132^2 + 63756^2 .

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

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 95 ways as a sum of consecutive naturals, for example, 36709864 + ... + 36709976.

Almost surely, 2^4148220960 is an apocalyptic number.

4148220960 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 4148220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8046655344).

4148220960 is an abundant number, since it is smaller than the sum of its proper divisors (11945089728).

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

4148220960 is a wasteful number, since it uses less digits than its factorization.

4148220960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4148220960 is about 64406.6841251745. The cubic root of 4148220960 is about 1606.7709104802.

The spelling of 4148220960 in words is "four billion, one hundred forty-eight million, two hundred twenty thousand, nine hundred sixty".