4114442034340 has 384 divisors, whose sum is σ = 10463278726656. Its totient is φ = 1341849600000.

The previous prime is 4114442034337. The next prime is 4114442034347. The reversal of 4114442034340 is 434302444114.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 4114442034296 and 4114442034305.

It is not an unprimeable number, because it can be changed into a prime (4114442034347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2039881012 + ... + 2039883028.

It is an arithmetic number, because the mean of its divisors is an integer number (27248121684).

Almost surely, 2^{4114442034340} 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 4114442034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5231639363328).

4114442034340 is an abundant number, since it is smaller than the sum of its proper divisors (6348836692316).

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

4114442034340 is a wasteful number, since it uses less digits than its factorization.

4114442034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 4114442034340 its reverse (434302444114), we get a palindrome (4548744478454).

The spelling of 4114442034340 in words is "four trillion, one hundred fourteen billion, four hundred forty-two million, thirty-four thousand, three hundred forty".