4114000304440 has 128 divisors (see below), whose sum is σ = 10541084843520. Its totient is φ = 1434160742400.

The previous prime is 4114000304423. The next prime is 4114000304441. The reversal of 4114000304440 is 444030004114.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114000304441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2451409 + ... + 3773248.

It is an arithmetic number, because the mean of its divisors is an integer number (82352225340).

Almost surely, 2^{4114000304440} is an apocalyptic number.

4114000304440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114000304440 is an abundant number, since it is smaller than the sum of its proper divisors (6427084539080).

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

4114000304440 is a wasteful number, since it uses less digits than its factorization.

4114000304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6224753 (or 6224749 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4114000304440 its reverse (444030004114), we get a palindrome (4558030308554).

The spelling of 4114000304440 in words is "four trillion, one hundred fourteen billion, three hundred four thousand, four hundred forty".