214043121340412 has 192 divisors, whose sum is σ = 473515493068800. Its totient is φ = 82391823820800.

The previous prime is 214043121340357. The next prime is 214043121340441.

214043121340412 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9484772753 + ... + 9484795319.

It is an arithmetic number, because the mean of its divisors is an integer number (2466226526400).

Almost surely, 2^{214043121340412} 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 214043121340412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236757746534400).

214043121340412 is an abundant number, since it is smaller than the sum of its proper divisors (259472371728388).

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

214043121340412 is a wasteful number, since it uses less digits than its factorization.

214043121340412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24292 (or 24290 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 214043121340412 in words is "two hundred fourteen trillion, forty-three billion, one hundred twenty-one million, three hundred forty thousand, four hundred twelve".