4441364172 has 288 divisors, whose sum is σ = 14310825984. Its totient is φ = 1132185600.

The previous prime is 4441364143. The next prime is 4441364173. The reversal of 4441364172 is 2714631444.

4441364172 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 3 + 641 + 7 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4441364173) 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, 7038297 + ... + 7038927.

It is an arithmetic number, because the mean of its divisors is an integer number (49690368).

Almost surely, 2^4441364172 is an apocalyptic number.

4441364172 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 4441364172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7155412992).

4441364172 is an abundant number, since it is smaller than the sum of its proper divisors (9869461812).

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

4441364172 is a wasteful number, since it uses less digits than its factorization.

4441364172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 744 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 4441364172 is about 66643.5606191626. The cubic root of 4441364172 is about 1643.7614648499.

The spelling of 4441364172 in words is "four billion, four hundred forty-one million, three hundred sixty-four thousand, one hundred seventy-two".