4128466944 has 192 divisors, whose sum is σ = 12799987200. Its totient is φ = 1158856704.

The previous prime is 4128466931. The next prime is 4128466961. The reversal of 4128466944 is 4496648214.

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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 4128466893 and 4128466902.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2536659 + ... + 2538285.

It is an arithmetic number, because the mean of its divisors is an integer number (66666600).

Almost surely, 2^4128466944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4128466944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399993600).

4128466944 is an abundant number, since it is smaller than the sum of its proper divisors (8671520256).

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

4128466944 is a wasteful number, since it uses less digits than its factorization.

4128466944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1698 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 4128466944 is about 64253.1473470366. The cubic root of 4128466944 is about 1604.2163459236.

The spelling of 4128466944 in words is "four billion, one hundred twenty-eight million, four hundred sixty-six thousand, nine hundred forty-four".