3414102410144 has 48 divisors (see below), whose sum is σ = 6919653031200. Its totient is φ = 1656950448384.

The previous prime is 3414102410113. The next prime is 3414102410183. The reversal of 3414102410144 is 4410142014143.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2944874 + ... + 3937065.

It is an arithmetic number, because the mean of its divisors is an integer number (144159438150).

Almost surely, 2^{3414102410144} is an apocalyptic number.

It is an amenable number.

3414102410144 is an abundant number, since it is smaller than the sum of its proper divisors (3505550621056).

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

3414102410144 is a wasteful number, since it uses less digits than its factorization.

3414102410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6882405 (or 6882397 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 3414102410144 its reverse (4410142014143), we get a palindrome (7824244424287).

The spelling of 3414102410144 in words is "three trillion, four hundred fourteen billion, one hundred two million, four hundred ten thousand, one hundred forty-four".