214012444240 has 80 divisors (see below), whose sum is σ = 593386092288. Its totient is φ = 70185443328.

The previous prime is 214012444237. The next prime is 214012444249. The reversal of 214012444240 is 42444210412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 214012444199 and 214012444208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214012444249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8295057 + ... + 8320816.

Almost surely, 2^214012444240 is an apocalyptic number.

214012444240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214012444240 is an abundant number, since it is smaller than the sum of its proper divisors (379373648048).

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

214012444240 is a wasteful number, since it uses less digits than its factorization.

214012444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16615916 (or 16615910 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 214012444240 its reverse (42444210412), we get a palindrome (256456654652).

The spelling of 214012444240 in words is "two hundred fourteen billion, twelve million, four hundred forty-four thousand, two hundred forty".