214241626142412 has 96 divisors (see below), whose sum is σ = 549576570816000. Its totient is φ = 64419225292800.

The previous prime is 214241626142377. The next prime is 214241626142431.

214241626142412 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, 741889 + ... + 20713127.

It is an arithmetic number, because the mean of its divisors is an integer number (5724755946000).

Almost surely, 2^{214241626142412} is an apocalyptic number.

214241626142412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214241626142412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274788285408000).

214241626142412 is an abundant number, since it is smaller than the sum of its proper divisors (335334944673588).

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

214241626142412 is a wasteful number, since it uses less digits than its factorization.

214241626142412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19971887 (or 19971885 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The spelling of 214241626142412 in words is "two hundred fourteen trillion, two hundred forty-one billion, six hundred twenty-six million, one hundred forty-two thousand, four hundred twelve".