244261729920 has 384 divisors, whose sum is σ = 847944115200. Its totient is φ = 59779399680.

The previous prime is 244261729919. The next prime is 244261729927. The reversal of 244261729920 is 29927162442.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×244261729920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 244261729920.

It is not an unprimeable number, because it can be changed into a prime (244261729927) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 58728801 + ... + 58732959.

It is an arithmetic number, because the mean of its divisors is an integer number (2208187800).

Almost surely, 2^244261729920 is an apocalyptic number.

244261729920 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 244261729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423972057600).

244261729920 is an abundant number, since it is smaller than the sum of its proper divisors (603682385280).

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

244261729920 is a wasteful number, since it uses less digits than its factorization.

244261729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 244261729920 in words is "two hundred forty-four billion, two hundred sixty-one million, seven hundred twenty-nine thousand, nine hundred twenty".