4025816960 has 256 divisors, whose sum is σ = 11209881600. Its totient is φ = 1370490880.

The previous prime is 4025816941. The next prime is 4025816969. The reversal of 4025816960 is 696185204.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4025816969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85655657 + ... + 85655703.

It is an arithmetic number, because the mean of its divisors is an integer number (43788600).

Almost surely, 2^4025816960 is an apocalyptic number.

4025816960 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 4025816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604940800).

4025816960 is an abundant number, since it is smaller than the sum of its proper divisors (7184064640).

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

4025816960 is an equidigital number, since it uses as much as digits as its factorization.

4025816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 4025816960 is about 63449.3259223453. The cubic root of 4025816960 is about 1590.8088865778.

The spelling of 4025816960 in words is "four billion, twenty-five million, eight hundred sixteen thousand, nine hundred sixty".