34200461406400 has 42 divisors (see below), whose sum is σ = 84154510352060. Its totient is φ = 13680184561920.

The previous prime is 34200461406367. The next prime is 34200461406409. The reversal of 34200461406400 is 460416400243.

It is not an unprimeable number, because it can be changed into a prime (34200461406409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10687642590 + ... + 10687645789.

Almost surely, 2^{34200461406400} is an apocalyptic number.

It is an amenable number.

34200461406400 is an abundant number, since it is smaller than the sum of its proper divisors (49954048945660).

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

34200461406400 is a wasteful number, since it uses less digits than its factorization.

34200461406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21375288401 (or 21375288386 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 34200461406400 its reverse (460416400243), we get a palindrome (34660877806643).

The spelling of 34200461406400 in words is "thirty-four trillion, two hundred billion, four hundred sixty-one million, four hundred six thousand, four hundred".