534218042880 has 480 divisors, whose sum is σ = 1940430492000. Its totient is φ = 140842893312.

The previous prime is 534218042873. The next prime is 534218042893. The reversal of 534218042880 is 88240812435.

534218042880 is a `hidden beast` number, since 5 + 3 + 4 + 218 + 0 + 428 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 55360296 + ... + 55369944.

It is an arithmetic number, because the mean of its divisors is an integer number (4042563525).

Almost surely, 2^534218042880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534218042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970215246000).

534218042880 is an abundant number, since it is smaller than the sum of its proper divisors (1406212449120).

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

534218042880 is an frugal number, since it uses more digits than its factorization.

534218042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9776 (or 9748 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 534218042880 in words is "five hundred thirty-four billion, two hundred eighteen million, forty-two thousand, eight hundred eighty".