214142241412 has 96 divisors (see below), whose sum is σ = 437795051904. Its totient is φ = 90571008000.

The previous prime is 214142241337. The next prime is 214142241427.

214142241412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64440783 + ... + 64444105.

It is an arithmetic number, because the mean of its divisors is an integer number (4560365124).

Almost surely, 2^214142241412 is an apocalyptic number.

214142241412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214142241412 is an abundant number, since it is smaller than the sum of its proper divisors (223652810492).

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

214142241412 is a wasteful number, since it uses less digits than its factorization.

214142241412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4307 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 214142 and 241412, that added together give a palindrome (455554).

The spelling of 214142241412 in words is "two hundred fourteen billion, one hundred forty-two million, two hundred forty-one thousand, four hundred twelve".