214420416406 has 64 divisors (see below), whose sum is σ = 401080320000. Its totient is φ = 83896313760.

The previous prime is 214420416401. The next prime is 214420416409. The reversal of 214420416406 is 604614024412.

It is a super-2 number, since 2×214420416406² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214420416401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1916395 + ... + 2025193.

It is an arithmetic number, because the mean of its divisors is an integer number (6266880000).

Almost surely, 2^214420416406 is an apocalyptic number.

214420416406 is a deficient number, since it is larger than the sum of its proper divisors (186659903594).

214420416406 is a wasteful number, since it uses less digits than its factorization.

214420416406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109097.

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 214420416406 in words is "two hundred fourteen billion, four hundred twenty million, four hundred sixteen thousand, four hundred six".