4472135640 has 768 divisors, whose sum is σ = 18977587200. Its totient is φ = 889574400.

The previous prime is 4472135623. The next prime is 4472135669. The reversal of 4472135640 is 465312744.

4472135640 is a `hidden beast` number, since 4 + 4 + 7 + 2 + 1 + 3 + 5 + 640 = 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 = 4472135595 and 4472135604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34138375 + ... + 34138505.

It is an arithmetic number, because the mean of its divisors is an integer number (24710400).

Almost surely, 2^4472135640 is an apocalyptic number.

4472135640 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 4472135640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9488793600).

4472135640 is an abundant number, since it is smaller than the sum of its proper divisors (14505451560).

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

4472135640 is a wasteful number, since it uses less digits than its factorization.

4472135640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4472135640 is about 66874.0281424710. The cubic root of 4472135640 is about 1647.5489337598.

The spelling of 4472135640 in words is "four billion, four hundred seventy-two million, one hundred thirty-five thousand, six hundred forty".