4144413720288 has 48 divisors (see below), whose sum is σ = 10879779980160. Its totient is φ = 1381383117696.

The previous prime is 4144413720283. The next prime is 4144413720299. The reversal of 4144413720288 is 8820273144414.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4144413720288² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144413720283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144603 + ... + 2882661.

It is an arithmetic number, because the mean of its divisors is an integer number (226662082920).

Almost surely, 2^{4144413720288} is an apocalyptic number.

4144413720288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4144413720288 is an abundant number, since it is smaller than the sum of its proper divisors (6735366259872).

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

4144413720288 is a wasteful number, since it uses less digits than its factorization.

4144413720288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753839 (or 2753831 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 4144413720288 in words is "four trillion, one hundred forty-four billion, four hundred thirteen million, seven hundred twenty thousand, two hundred eighty-eight".