543241340928 has 1536 divisors, whose sum is σ = 2060577792000. Its totient is φ = 138974330880.

The previous prime is 543241340927. The next prime is 543241340959. The reversal of 543241340928 is 829043142345.

543241340928 is a `hidden beast` number, since 5 + 43 + 241 + 340 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×543241340928² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (543241340927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5274187725 + ... + 5274187827.

It is an arithmetic number, because the mean of its divisors is an integer number (1341522000).

Almost surely, 2^543241340928 is an apocalyptic number.

543241340928 is a gapful number since it is divisible by the number (58) 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 543241340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030288896000).

543241340928 is an abundant number, since it is smaller than the sum of its proper divisors (1517336451072).

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

543241340928 is a wasteful number, since it uses less digits than its factorization.

543241340928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 543241340928 in words is "five hundred forty-three billion, two hundred forty-one million, three hundred forty thousand, nine hundred twenty-eight".