4424172480 has 896 divisors, whose sum is σ = 20400629760. Its totient is φ = 875888640.

The previous prime is 4424172469. The next prime is 4424172491. The reversal of 4424172480 is 842714244.

4424172480 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 172 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (4424172469) and next prime (4424172491).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13365915 + ... + 13366245.

It is an arithmetic number, because the mean of its divisors is an integer number (22768560).

Almost surely, 2^4424172480 is an apocalyptic number.

4424172480 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 4424172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10200314880).

4424172480 is an abundant number, since it is smaller than the sum of its proper divisors (15976457280).

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

4424172480 is a wasteful number, since it uses less digits than its factorization.

4424172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 4424172480 is about 66514.4531662104. The cubic root of 4424172480 is about 1641.6378244422.

The spelling of 4424172480 in words is "four billion, four hundred twenty-four million, one hundred seventy-two thousand, four hundred eighty".