4025448000 has 672 divisors, whose sum is σ = 16895673600. Its totient is φ = 914457600.

The previous prime is 4025447983. The next prime is 4025448013. The reversal of 4025448000 is 8445204.

4025448000 is a `hidden beast` number, since 40 + 2 + 544 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24695919 + ... + 24696081.

Almost surely, 2^4025448000 is an apocalyptic number.

4025448000 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 4025448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8447836800).

4025448000 is an abundant number, since it is smaller than the sum of its proper divisors (12870225600).

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

4025448000 is a wasteful number, since it uses less digits than its factorization.

4025448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4025448000 is about 63446.4183386265. The cubic root of 4025448000 is about 1590.7602866882.

The spelling of 4025448000 in words is "four billion, twenty-five million, four hundred forty-eight thousand".