34242410512400 has 60 divisors (see below), whose sum is σ = 83258564725392. Its totient is φ = 13531940526720.

The previous prime is 34242410512379. The next prime is 34242410512423. The reversal of 34242410512400 is 421501424243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515665754 + ... + 515732153.

Almost surely, 2^{34242410512400} is an apocalyptic number.

It is an amenable number.

34242410512400 is an abundant number, since it is smaller than the sum of its proper divisors (49016154212992).

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

34242410512400 is a wasteful number, since it uses less digits than its factorization.

34242410512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031398008 (or 1031397997 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 34242410512400 its reverse (421501424243), we get a palindrome (34663911936643).

The spelling of 34242410512400 in words is "thirty-four trillion, two hundred forty-two billion, four hundred ten million, five hundred twelve thousand, four hundred".