4404242401344 has 336 divisors, whose sum is σ = 13596470948736. Its totient is φ = 1357992345600.

The previous prime is 4404242401319. The next prime is 4404242401373. The reversal of 4404242401344 is 4431042424044.

It is a happy number.

4404242401344 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 242 + 401 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×4404242401344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4404242401299 and 4404242401308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1093676259 + ... + 1093680285.

Almost surely, 2^{4404242401344} 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 4404242401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798235474368).

4404242401344 is an abundant number, since it is smaller than the sum of its proper divisors (9192228547392).

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

4404242401344 is a wasteful number, since it uses less digits than its factorization.

4404242401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4404242401344 its reverse (4431042424044), we get a palindrome (8835284825388).

The spelling of 4404242401344 in words is "four trillion, four hundred four billion, two hundred forty-two million, four hundred one thousand, three hundred forty-four".