4665040128 has 252 divisors, whose sum is σ = 15960353248. Its totient is φ = 1332495360.

The previous prime is 4665040123. The next prime is 4665040141. The reversal of 4665040128 is 8210405664.

It is a tau number, because it is divible by the number of its divisors (252).

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 = 4665040092 and 4665040101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4665040123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1304583 + ... + 1308153.

Almost surely, 2^4665040128 is an apocalyptic number.

4665040128 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 4665040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7980176624).

4665040128 is an abundant number, since it is smaller than the sum of its proper divisors (11295313120).

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

4665040128 is an frugal number, since it uses more digits than its factorization.

4665040128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4665040128 is about 68301.0990248327. The cubic root of 4665040128 is about 1670.9051385477.

The spelling of 4665040128 in words is "four billion, six hundred sixty-five million, forty thousand, one hundred twenty-eight".