4025728512 has 480 divisors, whose sum is σ = 13762869120. Its totient is φ = 1164533760.

The previous prime is 4025728463. The next prime is 4025728519. The reversal of 4025728512 is 2158275204.

It is a happy number.

4025728512 is a `hidden beast` number, since 4 + 0 + 2 + 572 + 85 + 1 + 2 = 666.

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 (4025728519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30730687 + ... + 30730817.

It is an arithmetic number, because the mean of its divisors is an integer number (28672644).

Almost surely, 2^4025728512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4025728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881434560).

4025728512 is an abundant number, since it is smaller than the sum of its proper divisors (9737140608).

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

4025728512 is a wasteful number, since it uses less digits than its factorization.

4025728512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 4025728512 is about 63448.6289213565. The cubic root of 4025728512 is about 1590.7972363631.

The spelling of 4025728512 in words is "four billion, twenty-five million, seven hundred twenty-eight thousand, five hundred twelve".