4146206820 has 96 divisors (see below), whose sum is σ = 13341409536. Its totient is φ = 942451200.

The previous prime is 4146206797. The next prime is 4146206833. The reversal of 4146206820 is 286026414.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48750 + ... + 103290.

It is an arithmetic number, because the mean of its divisors is an integer number (138973016).

Almost surely, 2^4146206820 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 4146206820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6670704768).

4146206820 is an abundant number, since it is smaller than the sum of its proper divisors (9195202716).

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

4146206820 is a wasteful number, since it uses less digits than its factorization.

4146206820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54741 (or 54739 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4146206820 is about 64391.0461166768. The cubic root of 4146206820 is about 1606.5108162121.

The spelling of 4146206820 in words is "four billion, one hundred forty-six million, two hundred six thousand, eight hundred twenty".