214041104004 has 144 divisors (see below), whose sum is σ = 626713092096. Its totient is φ = 56355264000.

The previous prime is 214041103979. The next prime is 214041104023. The reversal of 214041104004 is 400401140412.

It is a super-2 number, since 2×214041104004² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4570749 + ... + 4617339.

Almost surely, 2^214041104004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214041104004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313356546048).

214041104004 is an abundant number, since it is smaller than the sum of its proper divisors (412671988092).

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

214041104004 is a wasteful number, since it uses less digits than its factorization.

214041104004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47226 (or 47217 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 214041104004 its reverse (400401140412), we get a palindrome (614442244416).

The spelling of 214041104004 in words is "two hundred fourteen billion, forty-one million, one hundred four thousand, four".