4413515040 has 480 divisors, whose sum is σ = 17242860096. Its totient is φ = 1054218240.

The previous prime is 4413515023. The next prime is 4413515047. The reversal of 4413515040 is 405153144.

It is a happy number.

4413515040 is a `hidden beast` number, since 441 + 35 + 150 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4413514995 and 4413515013.

It is not an unprimeable number, because it can be changed into a prime (4413515047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11832294 + ... + 11832666.

Almost surely, 2^4413515040 is an apocalyptic number.

4413515040 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 4413515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8621430048).

4413515040 is an abundant number, since it is smaller than the sum of its proper divisors (12829345056).

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

4413515040 is a wasteful number, since it uses less digits than its factorization.

4413515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4413515040 is about 66434.2911454619. The cubic root of 4413515040 is about 1640.3185778093.

Adding to 4413515040 its reverse (405153144), we get a palindrome (4818668184).

The spelling of 4413515040 in words is "four billion, four hundred thirteen million, five hundred fifteen thousand, forty".