34414341401142 has 96 divisors (see below), whose sum is σ = 77557310138880. Its totient is φ = 11018946818880.

The previous prime is 34414341401131. The next prime is 34414341401161. The reversal of 34414341401142 is 24110414341443.

34414341401142 is a `hidden beast` number, since 3 + 4 + 41 + 434 + 1 + 40 + 1 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34414341401097 and 34414341401106.

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 47 ways as a sum of consecutive naturals, for example, 585617053 + ... + 585675815.

It is an arithmetic number, because the mean of its divisors is an integer number (807888647280).

Almost surely, 2^{34414341401142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34414341401142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38778655069440).

34414341401142 is an abundant number, since it is smaller than the sum of its proper divisors (43142968737738).

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

34414341401142 is a wasteful number, since it uses less digits than its factorization.

34414341401142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70018 (or 70015 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 34414341401142 its reverse (24110414341443), we get a palindrome (58524755742585).

The spelling of 34414341401142 in words is "thirty-four trillion, four hundred fourteen billion, three hundred forty-one million, four hundred one thousand, one hundred forty-two".