4025736000 has 1344 divisors, whose sum is σ = 18692384256. Its totient is φ = 811008000.

The previous prime is 4025735963. The next prime is 4025736041. The reversal of 4025736000 is 6375204.

It is a happy number.

4025736000 is a `hidden beast` number, since 4 + 0 + 2 + 57 + 3 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175031989 + ... + 175032011.

It is an arithmetic number, because the mean of its divisors is an integer number (13908024).

Almost surely, 2^4025736000 is an apocalyptic number.

4025736000 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 4025736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9346192128).

4025736000 is an abundant number, since it is smaller than the sum of its proper divisors (14666648256).

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

4025736000 is a wasteful number, since it uses less digits than its factorization.

4025736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4025736000 is about 63448.6879296964. The cubic root of 4025736000 is about 1590.7982226759.

The spelling of 4025736000 in words is "four billion, twenty-five million, seven hundred thirty-six thousand".