34420000042144 has 48 divisors (see below), whose sum is σ = 71753793644736. Its totient is φ = 16196906880000.

The previous prime is 34420000042117. The next prime is 34420000042199. The reversal of 34420000042144 is 44124000002443.

It is a super-2 number, since 2×34420000042144² (a number of 28 digits) contains 22 as substring.

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, 10561069 + ... + 13430419.

It is an arithmetic number, because the mean of its divisors is an integer number (1494870700932).

Almost surely, 2^{34420000042144} is an apocalyptic number.

34420000042144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34420000042144 is an abundant number, since it is smaller than the sum of its proper divisors (37333793602592).

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

34420000042144 is a wasteful number, since it uses less digits than its factorization.

34420000042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891429 (or 2891421 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 34420000042144 its reverse (44124000002443), we get a palindrome (78544000044587).

The spelling of 34420000042144 in words is "thirty-four trillion, four hundred twenty billion, forty-two thousand, one hundred forty-four".