4121838720 has 192 divisors, whose sum is σ = 14982739200. Its totient is φ = 1041278976.

The previous prime is 4121838713. The next prime is 4121838767. The reversal of 4121838720 is 278381214.

4121838720 is a `hidden beast` number, since 41 + 218 + 387 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90609 + ... + 128271.

It is an arithmetic number, because the mean of its divisors is an integer number (78035100).

Almost surely, 2^4121838720 is an apocalyptic number.

4121838720 is a gapful number since it is divisible by the number (40) 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 4121838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7491369600).

4121838720 is an abundant number, since it is smaller than the sum of its proper divisors (10860900480).

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

4121838720 is a wasteful number, since it uses less digits than its factorization.

4121838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37707 (or 37692 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4121838720 is about 64201.5476448972. The cubic root of 4121838720 is about 1603.3573667942.

It can be divided in two parts, 412183 and 8720, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 4121838720 in words is "four billion, one hundred twenty-one million, eight hundred thirty-eight thousand, seven hundred twenty".