4025466720 has 720 divisors, whose sum is σ = 16643509344. Its totient is φ = 912384000.

The previous prime is 4025466659. The next prime is 4025466727. The reversal of 4025466720 is 276645204.

4025466720 is a `hidden beast` number, since 40 + 2 + 546 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (4025466727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26658645 + ... + 26658795.

Almost surely, 2^4025466720 is an apocalyptic number.

4025466720 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 4025466720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321754672).

4025466720 is an abundant number, since it is smaller than the sum of its proper divisors (12618042624).

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

4025466720 is a wasteful number, since it uses less digits than its factorization.

4025466720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4025466720 is about 63446.5658645131. The cubic root of 4025466720 is about 1590.7627525824.

The spelling of 4025466720 in words is "four billion, twenty-five million, four hundred sixty-six thousand, seven hundred twenty".