4534093817280 has 1120 divisors, whose sum is σ = 17157892308480. Its totient is φ = 1134673920000.

The previous prime is 4534093817219. The next prime is 4534093817287. The reversal of 4534093817280 is 827183904354.

It is a happy number.

4534093817280 is a `hidden beast` number, since 4 + 5 + 340 + 9 + 3 + 8 + 17 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4534093817287) 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 159 ways as a sum of consecutive naturals, for example, 7544248980 + ... + 7544249580.

It is an arithmetic number, because the mean of its divisors is an integer number (15319546704).

Almost surely, 2^{4534093817280} is an apocalyptic number.

4534093817280 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 4534093817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8578946154240).

4534093817280 is an abundant number, since it is smaller than the sum of its proper divisors (12623798491200).

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

4534093817280 is a wasteful number, since it uses less digits than its factorization.

4534093817280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4534093817280 in words is "four trillion, five hundred thirty-four billion, ninety-three million, eight hundred seventeen thousand, two hundred eighty".