4189121820 has 96 divisors (see below), whose sum is σ = 14035371840. Its totient is φ = 1031166720.

The previous prime is 4189121779. The next prime is 4189121837. The reversal of 4189121820 is 281219814.

It is a happy number.

4189121820 is a `hidden beast` number, since 418 + 9 + 1 + 218 + 20 = 666.

It is a super-2 number, since 2×4189121820² = 35097483245600224800, which contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291351 + ... + 305390.

It is an arithmetic number, because the mean of its divisors is an integer number (146201790).

Almost surely, 2^4189121820 is an apocalyptic number.

It is an amenable number.

4189121820 is an abundant number, since it is smaller than the sum of its proper divisors (9846250020).

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

4189121820 is a wasteful number, since it uses less digits than its factorization.

4189121820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596772 (or 596764 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 4189121820 is about 64723.4255891945. The cubic root of 4189121820 is about 1612.0344919112.

The spelling of 4189121820 in words is "four billion, one hundred eighty-nine million, one hundred twenty-one thousand, eight hundred twenty".