42546352818240 has 1008 divisors, whose sum is σ = 162765174079872. Its totient is φ = 10558487199744.

The previous prime is 42546352818199. The next prime is 42546352818253. The reversal of 42546352818240 is 4281825364524.

42546352818240 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 63 + 528 + 18 + 2 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2448420432 + ... + 2448437808.

It is an arithmetic number, because the mean of its divisors is an integer number (161473386984).

Almost surely, 2^{42546352818240} is an apocalyptic number.

42546352818240 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 42546352818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81382587039936).

42546352818240 is an abundant number, since it is smaller than the sum of its proper divisors (120218821261632).

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

42546352818240 is a wasteful number, since it uses less digits than its factorization.

42546352818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17506 (or 17447 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 42546352818240 in words is "forty-two trillion, five hundred forty-six billion, three hundred fifty-two million, eight hundred eighteen thousand, two hundred forty".