4401144121440 has 384 divisors, whose sum is σ = 15597842319360. Its totient is φ = 1033753190400.

The previous prime is 4401144121433. The next prime is 4401144121541. The reversal of 4401144121440 is 441214411044.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4401144121398 and 4401144121407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46643910 + ... + 46738170.

It is an arithmetic number, because the mean of its divisors is an integer number (40619381040).

Almost surely, 2^{4401144121440} is an apocalyptic number.

4401144121440 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 4401144121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7798921159680).

4401144121440 is an abundant number, since it is smaller than the sum of its proper divisors (11196698197920).

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

4401144121440 is a wasteful number, since it uses less digits than its factorization.

4401144121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94566 (or 94558 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 4401144121440 its reverse (441214411044), we get a palindrome (4842358532484).

The spelling of 4401144121440 in words is "four trillion, four hundred one billion, one hundred forty-four million, one hundred twenty-one thousand, four hundred forty".