4128772320 has 288 divisors, whose sum is σ = 15568967232. Its totient is φ = 991051776.

The previous prime is 4128772309. The next prime is 4128772321. The reversal of 4128772320 is 232778214.

4128772320 is a `hidden beast` number, since 412 + 8 + 7 + 7 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128772321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 559374 + ... + 566706.

It is an arithmetic number, because the mean of its divisors is an integer number (54058914).

Almost surely, 2^4128772320 is an apocalyptic number.

4128772320 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 4128772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7784483616).

4128772320 is an abundant number, since it is smaller than the sum of its proper divisors (11440194912).

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

4128772320 is a wasteful number, since it uses less digits than its factorization.

4128772320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7394 (or 7383 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4128772320 is about 64255.5236536128. The cubic root of 4128772320 is about 1604.2558987083.

The spelling of 4128772320 in words is "four billion, one hundred twenty-eight million, seven hundred seventy-two thousand, three hundred twenty".