4340414002144 has 96 divisors (see below), whose sum is σ = 9476198484480. Its totient is φ = 1940295513600.

The previous prime is 4340414002129. The next prime is 4340414002157. The reversal of 4340414002144 is 4412004140434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256775197 + ... + 256792099.

It is an arithmetic number, because the mean of its divisors is an integer number (98710400880).

Almost surely, 2^{4340414002144} is an apocalyptic number.

4340414002144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4340414002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738099242240).

4340414002144 is an abundant number, since it is smaller than the sum of its proper divisors (5135784482336).

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

4340414002144 is a wasteful number, since it uses less digits than its factorization.

4340414002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28944 (or 28936 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 4340414002144 its reverse (4412004140434), we get a palindrome (8752418142578).

The spelling of 4340414002144 in words is "four trillion, three hundred forty billion, four hundred fourteen million, two thousand, one hundred forty-four".