34142441313200 has 60 divisors (see below), whose sum is σ = 89484234835128. Its totient is φ = 12415433203200.

The previous prime is 34142441313157. The next prime is 34142441313223. The reversal of 34142441313200 is 231314424143.

It is a super-2 number, since 2×34142441313200² (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 11 ways as a sum of consecutive naturals, for example, 3879818477 + ... + 3879827276.

Almost surely, 2^{34142441313200} is an apocalyptic number.

It is an amenable number.

34142441313200 is an abundant number, since it is smaller than the sum of its proper divisors (55341793521928).

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

34142441313200 is a wasteful number, since it uses less digits than its factorization.

34142441313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7759645782 (or 7759645771 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 34142441313200 its reverse (231314424143), we get a palindrome (34373755737343).

The spelling of 34142441313200 in words is "thirty-four trillion, one hundred forty-two billion, four hundred forty-one million, three hundred thirteen thousand, two hundred".