4134143344320 has 1680 divisors, whose sum is σ = 16890969731328. Its totient is φ = 958003200000.

The previous prime is 4134143344313. The next prime is 4134143344321. The reversal of 4134143344320 is 234433414314.

4134143344320 is a `hidden beast` number, since 41 + 34 + 143 + 3 + 443 + 2 + 0 = 666.

It is a super-2 number, since 2×4134143344320² (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 not an unprimeable number, because it can be changed into a prime (4134143344321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9819817710 + ... + 9819818130.

Almost surely, 2^{4134143344320} is an apocalyptic number.

4134143344320 is a gapful number since it is divisible by the number (40) 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 4134143344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8445484865664).

4134143344320 is an abundant number, since it is smaller than the sum of its proper divisors (12756826387008).

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

4134143344320 is a wasteful number, since it uses less digits than its factorization.

4134143344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4134143344320 its reverse (234433414314), we get a palindrome (4368576758634).

The spelling of 4134143344320 in words is "four trillion, one hundred thirty-four billion, one hundred forty-three million, three hundred forty-four thousand, three hundred twenty".