214012244420 has 96 divisors (see below), whose sum is σ = 496156243968. Its totient is φ = 77041423872.

The previous prime is 214012244417. The next prime is 214012244429. The reversal of 214012244420 is 24442210412.

It is a happy number.

214012244420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214012244420² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 214012244420.

It is not an unprimeable number, because it can be changed into a prime (214012244429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6210077 + ... + 6244443.

It is an arithmetic number, because the mean of its divisors is an integer number (5168294208).

Almost surely, 2^214012244420 is an apocalyptic number.

214012244420 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 214012244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248078121984).

214012244420 is an abundant number, since it is smaller than the sum of its proper divisors (282143999548).

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

214012244420 is a wasteful number, since it uses less digits than its factorization.

214012244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34989 (or 34987 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 214012244420 its reverse (24442210412), we get a palindrome (238454454832).

The spelling of 214012244420 in words is "two hundred fourteen billion, twelve million, two hundred forty-four thousand, four hundred twenty".