4395726720 has 1152 divisors, whose sum is σ = 20570397120. Its totient is φ = 843448320.

The previous prime is 4395726701. The next prime is 4395726743. The reversal of 4395726720 is 276275934.

4395726720 is a `hidden beast` number, since 4 + 3 + 9 + 572 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82938214 + ... + 82938266.

Almost surely, 2^4395726720 is an apocalyptic number.

4395726720 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 4395726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285198560).

4395726720 is an abundant number, since it is smaller than the sum of its proper divisors (16174670400).

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

4395726720 is a wasteful number, since it uses less digits than its factorization.

4395726720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 4395726720 is about 66300.2769224986. The cubic root of 4395726720 is about 1638.1118861615. Note that the first 3 decimals are identical.

The spelling of 4395726720 in words is "four billion, three hundred ninety-five million, seven hundred twenty-six thousand, seven hundred twenty".