214438231941120 has 1792 divisors, whose sum is σ = 846152329536000. Its totient is φ = 51727753543680.

The previous prime is 214438231941103. The next prime is 214438231941161. The reversal of 214438231941120 is 21149132834412.

214438231941120 is a `hidden beast` number, since 2 + 1 + 4 + 438 + 2 + 3 + 1 + 94 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 265065799276 + ... + 265065800084.

Almost surely, 2^{214438231941120} is an apocalyptic number.

214438231941120 is a gapful number since it is divisible by the number (20) 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 214438231941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423076164768000).

214438231941120 is an abundant number, since it is smaller than the sum of its proper divisors (631714097594880).

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

214438231941120 is an frugal number, since it uses more digits than its factorization.

214438231941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 214438231941120 in words is "two hundred fourteen trillion, four hundred thirty-eight billion, two hundred thirty-one million, nine hundred forty-one thousand, one hundred twenty".