4202065728 has 448 divisors, whose sum is σ = 14918131200. Its totient is φ = 1134673920.

The previous prime is 4202065697. The next prime is 4202065739. The reversal of 4202065728 is 8275602024.

4202065728 is a `hidden beast` number, since 420 + 206 + 5 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 4202065692 and 4202065701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18349518 + ... + 18349746.

It is an arithmetic number, because the mean of its divisors is an integer number (33299400).

Almost surely, 2^4202065728 is an apocalyptic number.

4202065728 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 4202065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7459065600).

4202065728 is an abundant number, since it is smaller than the sum of its proper divisors (10716065472).

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

4202065728 is a wasteful number, since it uses less digits than its factorization.

4202065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4202065728 is about 64823.3424624186. The cubic root of 4202065728 is about 1613.6931189183.

The spelling of 4202065728 in words is "four billion, two hundred two million, sixty-five thousand, seven hundred twenty-eight".