4366535040 has 672 divisors, whose sum is σ = 18301541760. Its totient is φ = 992839680.

The previous prime is 4366535023. The next prime is 4366535059. The reversal of 4366535040 is 405356634.

4366535040 is a `hidden beast` number, since 43 + 66 + 53 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4366534986 and 4366535004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 22861345 + ... + 22861535.

Almost surely, 2^4366535040 is an apocalyptic number.

4366535040 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 4366535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9150770880).

4366535040 is an abundant number, since it is smaller than the sum of its proper divisors (13935006720).

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

4366535040 is an equidigital number, since it uses as much as digits as its factorization.

4366535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 4366535040 is about 66079.7627114384. The cubic root of 4366535040 is about 1634.4776380283.

The spelling of 4366535040 in words is "four billion, three hundred sixty-six million, five hundred thirty-five thousand, forty".