4181204448 has 240 divisors, whose sum is σ = 13172544000. Its totient is φ = 1297099008.

The previous prime is 4181204441. The next prime is 4181204471. The reversal of 4181204448 is 8444021814.

4181204448 is a `hidden beast` number, since 4 + 1 + 8 + 1 + 204 + 448 = 666.

4181204448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4181204441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2904913 + ... + 2906351.

It is an arithmetic number, because the mean of its divisors is an integer number (54885600).

Almost surely, 2^4181204448 is an apocalyptic number.

4181204448 is a gapful number since it is divisible by the number (48) 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 4181204448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272000).

4181204448 is an abundant number, since it is smaller than the sum of its proper divisors (8991339552).

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

4181204448 is a wasteful number, since it uses less digits than its factorization.

4181204448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4181204448 is about 64662.2335525150. The cubic root of 4181204448 is about 1611.0182784564.

The spelling of 4181204448 in words is "four billion, one hundred eighty-one million, two hundred four thousand, four hundred forty-eight".