214104440334240 has 576 divisors, whose sum is σ = 757918298592000. Its totient is φ = 54994390843392.

The previous prime is 214104440334229. The next prime is 214104440334259. The reversal of 214104440334240 is 42433044401412.

214104440334240 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 0 + 4 + 4 + 403 + 3 + 4 + 240 = 666.

It is a super-2 number, since 2×214104440334240² (a number of 29 digits) contains 22 as substring.

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 = 214104440334195 and 214104440334204.

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, 5171709061 + ... + 5171750459.

It is an arithmetic number, because the mean of its divisors is an integer number (1315830379500).

Almost surely, 2^{214104440334240} is an apocalyptic number.

214104440334240 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 214104440334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378959149296000).

214104440334240 is an abundant number, since it is smaller than the sum of its proper divisors (543813858257760).

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

214104440334240 is a wasteful number, since it uses less digits than its factorization.

214104440334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42429 (or 42418 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 214104440334240 its reverse (42433044401412), we get a palindrome (256537484735652).

The spelling of 214104440334240 in words is "two hundred fourteen trillion, one hundred four billion, four hundred forty million, three hundred thirty-four thousand, two hundred forty".