334421414100 has 144 divisors (see below), whose sum is σ = 1112175691200. Its totient is φ = 86103884160.

The previous prime is 334421414051. The next prime is 334421414111. The reversal of 334421414100 is 1414124433.

334421414100 is a `hidden beast` number, since 3 + 34 + 4 + 214 + 1 + 410 + 0 = 666.

It is a super-2 number, since 2×334421414100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2057214 + ... + 2213813.

It is an arithmetic number, because the mean of its divisors is an integer number (7723442300).

Almost surely, 2^334421414100 is an apocalyptic number.

334421414100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334421414100 is an abundant number, since it is smaller than the sum of its proper divisors (777754277100).

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

334421414100 is a wasteful number, since it uses less digits than its factorization.

334421414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271079 (or 4271066 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 334421414100 its reverse (1414124433), we get a palindrome (335835538533).

The spelling of 334421414100 in words is "three hundred thirty-four billion, four hundred twenty-one million, four hundred fourteen thousand, one hundred".