34014142342224 has 640 divisors, whose sum is σ = 109814571417600. Its totient is φ = 9992767150080.

The previous prime is 34014142342183. The next prime is 34014142342231. The reversal of 34014142342224 is 42224324141043.

34014142342224 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 4 + 1 + 423 + 4 + 2 + 224 = 666.

It is a super-4 number, since 4×34014142342224⁴ (a number of 55 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7806778254 + ... + 7806782610.

It is an arithmetic number, because the mean of its divisors is an integer number (171585267840).

Almost surely, 2^{34014142342224} 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 34014142342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54907285708800).

34014142342224 is an abundant number, since it is smaller than the sum of its proper divisors (75800429075376).

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

34014142342224 is a wasteful number, since it uses less digits than its factorization.

34014142342224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 34014142342224 its reverse (42224324141043), we get a palindrome (76238466483267).

The spelling of 34014142342224 in words is "thirty-four trillion, fourteen billion, one hundred forty-two million, three hundred forty-two thousand, two hundred twenty-four".