4415130720 has 768 divisors, whose sum is σ = 20768348160. Its totient is φ = 846028800.

The previous prime is 4415130703. The next prime is 4415130793. The reversal of 4415130720 is 270315144.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4323810 + ... + 4324830.

It is an arithmetic number, because the mean of its divisors is an integer number (27042120).

Almost surely, 2^4415130720 is an apocalyptic number.

4415130720 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 4415130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10384174080).

4415130720 is an abundant number, since it is smaller than the sum of its proper divisors (16353217440).

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

4415130720 is a wasteful number, since it uses less digits than its factorization.

4415130720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4415130720 is about 66446.4500180408. The cubic root of 4415130720 is about 1640.5187135716.

Adding to 4415130720 its reverse (270315144), we get a palindrome (4685445864).

The spelling of 4415130720 in words is "four billion, four hundred fifteen million, one hundred thirty thousand, seven hundred twenty".