4463006040 has 384 divisors, whose sum is σ = 15850598400. Its totient is φ = 1127831040.

The previous prime is 4463006027. The next prime is 4463006117. The reversal of 4463006040 is 406003644.

It is a happy number.

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 = 4463005995 and 4463006013.

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, 20013369 + ... + 20013591.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 2^4463006040 is an apocalyptic number.

4463006040 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 4463006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925299200).

4463006040 is an abundant number, since it is smaller than the sum of its proper divisors (11387592360).

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

4463006040 is a wasteful number, since it uses less digits than its factorization.

4463006040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4463006040 is about 66805.7335862724. The cubic root of 4463006040 is about 1646.4270454720.

Adding to 4463006040 its reverse (406003644), we get a palindrome (4869009684).

The spelling of 4463006040 in words is "four billion, four hundred sixty-three million, six thousand, forty".