4124006224128 has 360 divisors, whose sum is σ = 14231695681280. Its totient is φ = 1163369226240.

The previous prime is 4124006224127. The next prime is 4124006224223. The reversal of 4124006224128 is 8214226004214.

4124006224128 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 0 + 0 + 622 + 4 + 1 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4124006224092 and 4124006224101.

It is not an unprimeable number, because it can be changed into a prime (4124006224127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11287188 + ... + 11646828.

Almost surely, 2^{4124006224128} is an apocalyptic number.

4124006224128 is a gapful number since it is divisible by the number (48) 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 4124006224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115847840640).

4124006224128 is an abundant number, since it is smaller than the sum of its proper divisors (10107689457152).

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

4124006224128 is an equidigital number, since it uses as much as digits as its factorization.

4124006224128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359755 (or 359732 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 4124006224128 in words is "four trillion, one hundred twenty-four billion, six million, two hundred twenty-four thousand, one hundred twenty-eight".