4161284820 has 864 divisors, whose sum is σ = 18015903360. Its totient is φ = 785756160.

The previous prime is 4161284767. The next prime is 4161284833. The reversal of 4161284820 is 284821614.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 143492566 + ... + 143492594.

It is an arithmetic number, because the mean of its divisors is an integer number (20851740).

Almost surely, 2^4161284820 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 4161284820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9007951680).

4161284820 is an abundant number, since it is smaller than the sum of its proper divisors (13854618540).

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

4161284820 is a wasteful number, since it uses less digits than its factorization.

4161284820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 74 counting only the distinct ones).

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

The square root of 4161284820 is about 64508.0213616880. The cubic root of 4161284820 is about 1608.4558603949.

The spelling of 4161284820 in words is "four billion, one hundred sixty-one million, two hundred eighty-four thousand, eight hundred twenty".