4234222441440 has 144 divisors (see below), whose sum is σ = 15299242057008. Its totient is φ = 1062706802688.

The previous prime is 4234222441429. The next prime is 4234222441453. The reversal of 4234222441440 is 441442224324.

4234222441440 is a `hidden beast` number, since 4 + 234 + 2 + 2 + 2 + 4 + 414 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4234222441440² (a number of 26 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 = 4234222441395 and 4234222441404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86458822 + ... + 86507781.

It is an arithmetic number, because the mean of its divisors is an integer number (106244736507).

Almost surely, 2^{4234222441440} is an apocalyptic number.

4234222441440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4234222441440 is an abundant number, since it is smaller than the sum of its proper divisors (11065019615568).

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

4234222441440 is a wasteful number, since it uses less digits than its factorization.

4234222441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172966641 (or 172966630 counting only the distinct ones).

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

Adding to 4234222441440 its reverse (441442224324), we get a palindrome (4675664665764).

The spelling of 4234222441440 in words is "four trillion, two hundred thirty-four billion, two hundred twenty-two million, four hundred forty-one thousand, four hundred forty".