214440342432 has 96 divisors (see below), whose sum is σ = 565719295680. Its totient is φ = 71123374080.

The previous prime is 214440342383. The next prime is 214440342433. The reversal of 214440342432 is 234243044412.

214440342432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 214440342393 and 214440342402.

It is not an unprimeable number, because it can be changed into a prime (214440342433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33613419 + ... + 33619797.

It is an arithmetic number, because the mean of its divisors is an integer number (5892909330).

Almost surely, 2^214440342432 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 214440342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282859647840).

214440342432 is an abundant number, since it is smaller than the sum of its proper divisors (351278953248).

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

214440342432 is a wasteful number, since it uses less digits than its factorization.

214440342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8086 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 214440342432 its reverse (234243044412), we get a palindrome (448683386844).

The spelling of 214440342432 in words is "two hundred fourteen billion, four hundred forty million, three hundred forty-two thousand, four hundred thirty-two".