4200352884 has 144 divisors (see below), whose sum is σ = 13282622080. Its totient is φ = 1089573120.

The previous prime is 4200352861. The next prime is 4200352901. The reversal of 4200352884 is 4882530024.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189327 + ... + 210345.

Almost surely, 2^4200352884 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 4200352884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6641311040).

4200352884 is an abundant number, since it is smaller than the sum of its proper divisors (9082269196).

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

4200352884 is a wasteful number, since it uses less digits than its factorization.

4200352884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21110 (or 21105 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4200352884 is about 64810.1294860611. The cubic root of 4200352884 is about 1613.4738315174.

The spelling of 4200352884 in words is "four billion, two hundred million, three hundred fifty-two thousand, eight hundred eighty-four".