4128722509824 has 224 divisors, whose sum is σ = 13344559015680. Its totient is φ = 1251127296000.

The previous prime is 4128722509823. The next prime is 4128722509837. The reversal of 4128722509824 is 4289052278214.

4128722509824 is a `hidden beast` number, since 4 + 1 + 287 + 2 + 250 + 98 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128722509823) 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, 1584549 + ... + 3281499.

Almost surely, 2^{4128722509824} is an apocalyptic number.

4128722509824 is a gapful number since it is divisible by the number (44) 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 4128722509824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672279507840).

4128722509824 is an abundant number, since it is smaller than the sum of its proper divisors (9215836505856).

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

4128722509824 is a wasteful number, since it uses less digits than its factorization.

4128722509824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696997 (or 1696967 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 4128722509824 in words is "four trillion, one hundred twenty-eight billion, seven hundred twenty-two million, five hundred nine thousand, eight hundred twenty-four".