4441401304340 has 384 divisors, whose sum is σ = 12667483938816. Its totient is φ = 1263133440000.

The previous prime is 4441401304303. The next prime is 4441401304411. The reversal of 4441401304340 is 434031041444.

It is a junction number, because it is equal to n+sod(n) for n = 4441401304297 and 4441401304306.

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, 1591328345 + ... + 1591331135.

It is an arithmetic number, because the mean of its divisors is an integer number (32988239424).

Almost surely, 2^{4441401304340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441401304340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333741969408).

4441401304340 is an abundant number, since it is smaller than the sum of its proper divisors (8226082634476).

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

4441401304340 is a wasteful number, since it uses less digits than its factorization.

4441401304340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4441401304340 its reverse (434031041444), we get a palindrome (4875432345784).

The spelling of 4441401304340 in words is "four trillion, four hundred forty-one billion, four hundred one million, three hundred four thousand, three hundred forty".