4464010152 has 144 divisors (see below), whose sum is σ = 14257388340. Its totient is φ = 1257887232.

The previous prime is 4464010123. The next prime is 4464010183. The reversal of 4464010152 is 2510104644.

4464010152 is a `hidden beast` number, since 4 + 4 + 640 + 1 + 0 + 15 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4199817636 + 264192516 = 64806^2 + 16254^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 248878 + ... + 266210.

Almost surely, 2^4464010152 is an apocalyptic number.

4464010152 is a gapful number since it is divisible by the number (42) 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 4464010152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128694170).

4464010152 is an abundant number, since it is smaller than the sum of its proper divisors (9793378188).

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

4464010152 is a wasteful number, since it uses less digits than its factorization.

4464010152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17432 (or 17418 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4464010152 is about 66813.2483269598. The cubic root of 4464010152 is about 1646.5505103274.

Adding to 4464010152 its reverse (2510104644), we get a palindrome (6974114796).

The spelling of 4464010152 in words is "four billion, four hundred sixty-four million, ten thousand, one hundred fifty-two".