4033401114344 has 192 divisors, whose sum is σ = 9408610152000. Its totient is φ = 1611457182720.

The previous prime is 4033401114313. The next prime is 4033401114349. The reversal of 4033401114344 is 4434111043304.

It is a self number, because there is not a number n which added to its sum of digits gives 4033401114344.

It is not an unprimeable number, because it can be changed into a prime (4033401114349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533444324 + ... + 533451884.

It is an arithmetic number, because the mean of its divisors is an integer number (49003177875).

Almost surely, 2^{4033401114344} 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 4033401114344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704305076000).

4033401114344 is an abundant number, since it is smaller than the sum of its proper divisors (5375209037656).

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

4033401114344 is a wasteful number, since it uses less digits than its factorization.

4033401114344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8736 (or 8725 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 4033401114344 its reverse (4434111043304), we get a palindrome (8467512157648).

The spelling of 4033401114344 in words is "four trillion, thirty-three billion, four hundred one million, one hundred fourteen thousand, three hundred forty-four".