4415010720 has 96 divisors (see below), whose sum is σ = 13946567040. Its totient is φ = 1174010880.

The previous prime is 4415010709. The next prime is 4415010737. The reversal of 4415010720 is 270105144.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159510 + ... + 185130.

It is an arithmetic number, because the mean of its divisors is an integer number (145276740).

Almost surely, 2^4415010720 is an apocalyptic number.

4415010720 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 4415010720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973283520).

4415010720 is an abundant number, since it is smaller than the sum of its proper divisors (9531556320).

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

4415010720 is a wasteful number, since it uses less digits than its factorization.

4415010720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25998 (or 25990 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 4415010720 is about 66445.5470291275. The cubic root of 4415010720 is about 1640.5038507403.

Adding to 4415010720 its reverse (270105144), we get a palindrome (4685115864).

The spelling of 4415010720 in words is "four billion, four hundred fifteen million, ten thousand, seven hundred twenty".