214044042430440 has 384 divisors, whose sum is σ = 746756753502240. Its totient is φ = 52977609474048.

The previous prime is 214044042430357. The next prime is 214044042430451. The reversal of 214044042430440 is 44034240440412.

It is a happy number.

214044042430440 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 4 + 404 + 243 + 0 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 23815785940164 + 190228256490276 = 4880142^2 + 13792326^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214044042430395 and 214044042430404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3678145984 + ... + 3678204176.

Almost surely, 2^{214044042430440} is an apocalyptic number.

214044042430440 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 214044042430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373378376751120).

214044042430440 is an abundant number, since it is smaller than the sum of its proper divisors (532712711071800).

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

214044042430440 is a wasteful number, since it uses less digits than its factorization.

214044042430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66533 (or 66526 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 214044042430440 its reverse (44034240440412), we get a palindrome (258078282870852).

The spelling of 214044042430440 in words is "two hundred fourteen trillion, forty-four billion, forty-two million, four hundred thirty thousand, four hundred forty".