4125277728000 has 2304 divisors, whose sum is σ = 18082802949120. Its totient is φ = 913047552000.

The previous prime is 4125277727941. The next prime is 4125277728001. The reversal of 4125277728000 is 8277725214.

4125277728000 is a `hidden beast` number, since 41 + 2 + 527 + 7 + 7 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125277728001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21374495904 + ... + 21374496096.

It is an arithmetic number, because the mean of its divisors is an integer number (7848438780).

Almost surely, 2^{4125277728000} is an apocalyptic number.

4125277728000 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 4125277728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9041401474560).

4125277728000 is an abundant number, since it is smaller than the sum of its proper divisors (13957525221120).

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

4125277728000 is a wasteful number, since it uses less digits than its factorization.

4125277728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 4125277728000 in words is "four trillion, one hundred twenty-five billion, two hundred seventy-seven million, seven hundred twenty-eight thousand".