214242303430440 has 192 divisors, whose sum is σ = 709691080971600. Its totient is φ = 56041923280896.

The previous prime is 214242303430429. The next prime is 214242303430451. The reversal of 214242303430440 is 44034303242412.

214242303430440 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 4 + 2 + 303 + 4 + 304 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (214242303430429) and next prime (214242303430451).

It can be written as a sum of positive squares in 8 ways, for example, as 14410081764 + 214227893348676 = 120042^2 + 14636526^2 .

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 = 214242303430395 and 214242303430404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23201085 + ... + 31093004.

Almost surely, 2^{214242303430440} is an apocalyptic number.

214242303430440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214242303430440 is an abundant number, since it is smaller than the sum of its proper divisors (495448777541160).

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

214242303430440 is a wasteful number, since it uses less digits than its factorization.

214242303430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54294316 (or 54294309 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 214242303430440 its reverse (44034303242412), we get a palindrome (258276606672852).

The spelling of 214242303430440 in words is "two hundred fourteen trillion, two hundred forty-two billion, three hundred three million, four hundred thirty thousand, four hundred forty".