4088540664 has 256 divisors, whose sum is σ = 13272336000. Its totient is φ = 1154580480.

The previous prime is 4088540639. The next prime is 4088540719. The reversal of 4088540664 is 4660458804.

4088540664 is a `hidden beast` number, since 40 + 8 + 8 + 540 + 6 + 64 = 666.

It is a super-2 number, since 2×4088540664² = 33432329522363121792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1956132 + ... + 1958220.

Almost surely, 2^4088540664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4088540664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636168000).

4088540664 is an abundant number, since it is smaller than the sum of its proper divisors (9183795336).

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

4088540664 is a wasteful number, since it uses less digits than its factorization.

4088540664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 4088540664 is about 63941.6973812863. The cubic root of 4088540664 is about 1599.0281420938.

The spelling of 4088540664 in words is "four billion, eighty-eight million, five hundred forty thousand, six hundred sixty-four".