34054424411200 has 84 divisors (see below), whose sum is σ = 85743893078800. Its totient is φ = 13304984394240.

The previous prime is 34054424411191. The next prime is 34054424411219. The reversal of 34054424411200 is 211442445043.

34054424411200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 247419750 + ... + 247557349.

Almost surely, 2^{34054424411200} is an apocalyptic number.

It is an amenable number.

34054424411200 is an abundant number, since it is smaller than the sum of its proper divisors (51689468667600).

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

34054424411200 is a wasteful number, since it uses less digits than its factorization.

34054424411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494977164 (or 494977149 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 34054424411200 its reverse (211442445043), we get a palindrome (34265866856243).

The spelling of 34054424411200 in words is "thirty-four trillion, fifty-four billion, four hundred twenty-four million, four hundred eleven thousand, two hundred".