4412772144 has 480 divisors, whose sum is σ = 15136602624. Its totient is φ = 1184440320.

The previous prime is 4412772139. The next prime is 4412772167.

4412772144 is a `hidden beast` number, since 441 + 2 + 7 + 72 + 144 = 666.

4412772144 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 4412772099 and 4412772108.

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 95 ways as a sum of consecutive naturals, for example, 42842397 + ... + 42842499.

Almost surely, 2^4412772144 is an apocalyptic number.

4412772144 is a gapful number since it is divisible by the number (44) 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 4412772144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7568301312).

4412772144 is an abundant number, since it is smaller than the sum of its proper divisors (10723830480).

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

4412772144 is a wasteful number, since it uses less digits than its factorization.

4412772144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 4412772144 is about 66428.6997012586. The cubic root of 4412772144 is about 1640.2265382084.

The spelling of 4412772144 in words is "four billion, four hundred twelve million, seven hundred seventy-two thousand, one hundred forty-four".