4472610240 has 672 divisors, whose sum is σ = 17966131200. Its totient is φ = 941703168.

The previous prime is 4472610217. The next prime is 4472610251. The reversal of 4472610240 is 420162744.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 4472610198 and 4472610207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95161897 + ... + 95161943.

Almost surely, 2^4472610240 is an apocalyptic number.

4472610240 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 4472610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8983065600).

4472610240 is an abundant number, since it is smaller than the sum of its proper divisors (13493520960).

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

4472610240 is a wasteful number, since it uses less digits than its factorization.

4472610240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 4472610240 is about 66877.5765111147. The cubic root of 4472610240 is about 1647.6072130793.

Adding to 4472610240 its reverse (420162744), we get a palindrome (4892772984).

The spelling of 4472610240 in words is "four billion, four hundred seventy-two million, six hundred ten thousand, two hundred forty".