4128624344520 has 1792 divisors, whose sum is σ = 16648850211840. Its totient is φ = 911489531904.

The previous prime is 4128624344519. The next prime is 4128624344543. The reversal of 4128624344520 is 254434268214.

4128624344520 is a `hidden beast` number, since 4 + 1 + 2 + 86 + 2 + 4 + 3 + 44 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 13024051402 + ... + 13024051718.

It is an arithmetic number, because the mean of its divisors is an integer number (9290653020).

Almost surely, 2^{4128624344520} is an apocalyptic number.

4128624344520 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 4128624344520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8324425105920).

4128624344520 is an abundant number, since it is smaller than the sum of its proper divisors (12520225867320).

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

4128624344520 is a wasteful number, since it uses less digits than its factorization.

4128624344520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 4128624344520 in words is "four trillion, one hundred twenty-eight billion, six hundred twenty-four million, three hundred forty-four thousand, five hundred twenty".