34042321311444 has 72 divisors (see below), whose sum is σ = 87434910920448. Its totient is φ = 11165387016960.

The previous prime is 34042321311413. The next prime is 34042321311499. The reversal of 34042321311444 is 44411312324043.

34042321311444 is a `hidden beast` number, since 3 + 4 + 0 + 423 + 213 + 1 + 14 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34042321311399 and 34042321311408.

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 23 ways as a sum of consecutive naturals, for example, 5885092 + ... + 10135035.

It is an arithmetic number, because the mean of its divisors is an integer number (1214373762784).

Almost surely, 2^{34042321311444} is an apocalyptic number.

It is an amenable number.

34042321311444 is an abundant number, since it is smaller than the sum of its proper divisors (53392589609004).

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

34042321311444 is a wasteful number, since it uses less digits than its factorization.

34042321311444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16021085 (or 16021080 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 34042321311444 its reverse (44411312324043), we get a palindrome (78453633635487).

The spelling of 34042321311444 in words is "thirty-four trillion, forty-two billion, three hundred twenty-one million, three hundred eleven thousand, four hundred forty-four".