4152032640 has 576 divisors, whose sum is σ = 17087578560. Its totient is φ = 925876224.

The previous prime is 4152032629. The next prime is 4152032641. The reversal of 4152032640 is 462302514.

4152032640 is a `hidden beast` number, since 4 + 15 + 2 + 0 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4152032641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13265124 + ... + 13265436.

It is an arithmetic number, because the mean of its divisors is an integer number (29665935).

Almost surely, 2^4152032640 is an apocalyptic number.

4152032640 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 4152032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8543789280).

4152032640 is an abundant number, since it is smaller than the sum of its proper divisors (12935545920).

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

4152032640 is a wasteful number, since it uses less digits than its factorization.

4152032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4152032640 is about 64436.2680483592. The cubic root of 4152032640 is about 1607.2628982252.

The spelling of 4152032640 in words is "four billion, one hundred fifty-two million, thirty-two thousand, six hundred forty".