4032504960 has 256 divisors, whose sum is σ = 14086379520. Its totient is φ = 973107200.

The previous prime is 4032504911. The next prime is 4032504967. The reversal of 4032504960 is 694052304.

It is a super-2 number, since 2×4032504960² = 32522192504849203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4032504967) 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, 9102499 + ... + 9102941.

It is an arithmetic number, because the mean of its divisors is an integer number (55024920).

Almost surely, 2^4032504960 is an apocalyptic number.

4032504960 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 4032504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7043189760).

4032504960 is an abundant number, since it is smaller than the sum of its proper divisors (10053874560).

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

4032504960 is a wasteful number, since it uses less digits than its factorization.

4032504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 4032504960 is about 63502.0075273215. The cubic root of 4032504960 is about 1591.6893243244.

The spelling of 4032504960 in words is "four billion, thirty-two million, five hundred four thousand, nine hundred sixty".