244738428480 has 2240 divisors, whose sum is σ = 1163190927360. Its totient is φ = 47405481984.

The previous prime is 244738428443. The next prime is 244738428503. The reversal of 244738428480 is 84824837442.

244738428480 is a `hidden beast` number, since 2 + 447 + 3 + 8 + 42 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×244738428480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1927074177 + ... + 1927074303.

It is an arithmetic number, because the mean of its divisors is an integer number (519281664).

Almost surely, 2^244738428480 is an apocalyptic number.

244738428480 is a gapful number since it is divisible by the number (20) 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 244738428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581595463680).

244738428480 is an abundant number, since it is smaller than the sum of its proper divisors (918452498880).

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

244738428480 is a wasteful number, since it uses less digits than its factorization.

244738428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 54.

The spelling of 244738428480 in words is "two hundred forty-four billion, seven hundred thirty-eight million, four hundred twenty-eight thousand, four hundred eighty".