4121842032 has 640 divisors, whose sum is σ = 16121825280. Its totient is φ = 975421440.

The previous prime is 4121842031. The next prime is 4121842073. The reversal of 4121842032 is 2302481214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4121841987 and 4121842005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121842031) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 20922958 + ... + 20923154.

It is an arithmetic number, because the mean of its divisors is an integer number (25190352).

Almost surely, 2^4121842032 is an apocalyptic number.

4121842032 is a gapful number since it is divisible by the number (42) 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 4121842032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060912640).

4121842032 is an abundant number, since it is smaller than the sum of its proper divisors (11999983248).

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

4121842032 is a wasteful number, since it uses less digits than its factorization.

4121842032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4121842032 is about 64201.5734386627. The cubic root of 4121842032 is about 1603.3577962399.

The spelling of 4121842032 in words is "four billion, one hundred twenty-one million, eight hundred forty-two thousand, thirty-two".