4124461120 has 112 divisors (see below), whose sum is σ = 11199223728. Its totient is φ = 1433272320.

The previous prime is 4124461111. The next prime is 4124461127. The reversal of 4124461120 is 211644214.

It can be written as a sum of positive squares in 8 ways, for example, as 798401536 + 3326059584 = 28256^2 + 57672^2 .

It is a super-2 number, since 2×4124461120² = 34022359060783308800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4124461127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41560 + ... + 99880.

It is an arithmetic number, because the mean of its divisors is an integer number (99993069).

Almost surely, 2^4124461120 is an apocalyptic number.

4124461120 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 4124461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599611864).

4124461120 is an abundant number, since it is smaller than the sum of its proper divisors (7074762608).

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

4124461120 is a wasteful number, since it uses less digits than its factorization.

4124461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58368 (or 58358 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4124461120 is about 64221.9675811945. The cubic root of 4124461120 is about 1603.6973245384.

The spelling of 4124461120 in words is "four billion, one hundred twenty-four million, four hundred sixty-one thousand, one hundred twenty".