4141800648 has 128 divisors (see below), whose sum is σ = 12192768000. Its totient is φ = 1300400640.

The previous prime is 4141800643. The next prime is 4141800667. The reversal of 4141800648 is 8460081414.

4141800648 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 8 + 0 + 0 + 648 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4141800643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248761 + ... + 264887.

It is an arithmetic number, because the mean of its divisors is an integer number (95256000).

Almost surely, 2^4141800648 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 4141800648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384000).

4141800648 is an abundant number, since it is smaller than the sum of its proper divisors (8050967352).

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

4141800648 is a wasteful number, since it uses less digits than its factorization.

4141800648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16212 (or 16202 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4141800648 is about 64356.8228550789. The cubic root of 4141800648 is about 1605.9415350814.

The spelling of 4141800648 in words is "four billion, one hundred forty-one million, eight hundred thousand, six hundred forty-eight".