4412528640 has 576 divisors, whose sum is σ = 17171481600. Its totient is φ = 1040449536.

The previous prime is 4412528629. The next prime is 4412528641. The reversal of 4412528640 is 468252144.

4412528640 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 5 + 2 + 8 + 640 = 666.

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

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 = 4412528595 and 4412528604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412528641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34744257 + ... + 34744383.

It is an arithmetic number, because the mean of its divisors is an integer number (29811600).

Almost surely, 2^4412528640 is an apocalyptic number.

4412528640 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 4412528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585740800).

4412528640 is an abundant number, since it is smaller than the sum of its proper divisors (12758952960).

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

4412528640 is a wasteful number, since it uses less digits than its factorization.

4412528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4412528640 is about 66426.8668537061. The cubic root of 4412528640 is about 1640.1963675238.

The spelling of 4412528640 in words is "four billion, four hundred twelve million, five hundred twenty-eight thousand, six hundred forty".