4095536640 has 640 divisors, whose sum is σ = 15838986240. Its totient is φ = 891813888.

The previous prime is 4095536639. The next prime is 4095536707. The reversal of 4095536640 is 466355904.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4095536592 and 4095536601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32248257 + ... + 32248383.

It is an arithmetic number, because the mean of its divisors is an integer number (24748416).

Almost surely, 2^4095536640 is an apocalyptic number.

4095536640 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 4095536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919493120).

4095536640 is an abundant number, since it is smaller than the sum of its proper divisors (11743449600).

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

4095536640 is a wasteful number, since it uses less digits than its factorization.

4095536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 4095536640 is about 63996.3798976161. The cubic root of 4095536640 is about 1599.9396643915.

The spelling of 4095536640 in words is "four billion, ninety-five million, five hundred thirty-six thousand, six hundred forty".