4127648544 has 144 divisors (see below), whose sum is σ = 12229176960. Its totient is φ = 1369509120.

The previous prime is 4127648381. The next prime is 4127648557. The reversal of 4127648544 is 4458467214.

4127648544 is a `hidden beast` number, since 4 + 127 + 6 + 485 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 4127648544.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1857354 + ... + 1859574.

It is an arithmetic number, because the mean of its divisors is an integer number (84924840).

Almost surely, 2^4127648544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4127648544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114588480).

4127648544 is an abundant number, since it is smaller than the sum of its proper divisors (8101528416).

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

4127648544 is a wasteful number, since it uses less digits than its factorization.

4127648544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2465 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 4127648544 is about 64246.7784717646. The cubic root of 4127648544 is about 1604.1103358366.

The spelling of 4127648544 in words is "four billion, one hundred twenty-seven million, six hundred forty-eight thousand, five hundred forty-four".