34401056214 has 64 divisors (see below), whose sum is σ = 87638284800. Its totient is φ = 8763821568.

The previous prime is 34401056213. The next prime is 34401056243. The reversal of 34401056214 is 41265010443.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34401056213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1254349 + ... + 1281480.

It is an arithmetic number, because the mean of its divisors is an integer number (1369348200).

Almost surely, 2^34401056214 is an apocalyptic number.

34401056214 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34401056214 is an abundant number, since it is smaller than the sum of its proper divisors (53237228586).

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

34401056214 is a wasteful number, since it uses less digits than its factorization.

34401056214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535877.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 34401056214 its reverse (41265010443), we get a palindrome (75666066657).

The spelling of 34401056214 in words is "thirty-four billion, four hundred one million, fifty-six thousand, two hundred fourteen".