214460144340 has 192 divisors, whose sum is σ = 654778924800. Its totient is φ = 52132294656.

The previous prime is 214460144321. The next prime is 214460144347. The reversal of 214460144340 is 43441064412.

214460144340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214460144347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26607231 + ... + 26615289.

It is an arithmetic number, because the mean of its divisors is an integer number (3410306900).

Almost surely, 2^214460144340 is an apocalyptic number.

214460144340 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 214460144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327389462400).

214460144340 is an abundant number, since it is smaller than the sum of its proper divisors (440318780460).

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

214460144340 is a wasteful number, since it uses less digits than its factorization.

214460144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8506 (or 8504 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 214460144340 in words is "two hundred fourteen billion, four hundred sixty million, one hundred forty-four thousand, three hundred forty".