4036566240 has 432 divisors, whose sum is σ = 16478568288. Its totient is φ = 881362944.

The previous prime is 4036566239. The next prime is 4036566257. The reversal of 4036566240 is 426656304.

4036566240 is a `hidden beast` number, since 40 + 36 + 566 + 24 + 0 = 666.

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 = 4036566195 and 4036566204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5331942 + ... + 5332698.

It is an arithmetic number, because the mean of its divisors is an integer number (38144834).

Almost surely, 2^4036566240 is an apocalyptic number.

4036566240 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 4036566240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8239284144).

4036566240 is an abundant number, since it is smaller than the sum of its proper divisors (12442002048).

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

4036566240 is a wasteful number, since it uses less digits than its factorization.

4036566240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4036566240 is about 63533.9770516532. The cubic root of 4036566240 is about 1592.2234941233.

The spelling of 4036566240 in words is "four billion, thirty-six million, five hundred sixty-six thousand, two hundred forty".