3424113402144 has 192 divisors, whose sum is σ = 9531865123200. Its totient is φ = 1074579996672.

The previous prime is 3424113402121. The next prime is 3424113402161. The reversal of 3424113402144 is 4412043114243.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23979792 + ... + 24122160.

It is an arithmetic number, because the mean of its divisors is an integer number (49645130850).

Almost surely, 2^{3424113402144} 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 3424113402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765932561600).

3424113402144 is an abundant number, since it is smaller than the sum of its proper divisors (6107751721056).

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

3424113402144 is a wasteful number, since it uses less digits than its factorization.

3424113402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142627 (or 142619 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 3424113402144 its reverse (4412043114243), we get a palindrome (7836156516387).

The spelling of 3424113402144 in words is "three trillion, four hundred twenty-four billion, one hundred thirteen million, four hundred two thousand, one hundred forty-four".