4416552360 has 384 divisors, whose sum is σ = 16479365760. Its totient is φ = 1016064000.

The previous prime is 4416552313. The next prime is 4416552367. The reversal of 4416552360 is 632556144.

4416552360 is a `hidden beast` number, since 4 + 41 + 6 + 552 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4416552367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6300010 + ... + 6300710.

It is an arithmetic number, because the mean of its divisors is an integer number (42915015).

Almost surely, 2^4416552360 is an apocalyptic number.

4416552360 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 4416552360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8239682880).

4416552360 is an abundant number, since it is smaller than the sum of its proper divisors (12062813400).

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

4416552360 is a wasteful number, since it uses less digits than its factorization.

4416552360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4416552360 is about 66457.1467940055. The cubic root of 4416552360 is about 1640.6947730435.

The spelling of 4416552360 in words is "four billion, four hundred sixteen million, five hundred fifty-two thousand, three hundred sixty".