42853707321408 has 336 divisors, whose sum is σ = 134534042173440. Its totient is φ = 12986818117632.

The previous prime is 42853707321407. The next prime is 42853707321421. The reversal of 42853707321408 is 80412370735824.

It is a happy number.

42853707321408 is a `hidden beast` number, since 4 + 2 + 85 + 3 + 70 + 73 + 21 + 408 = 666.

It is not an unprimeable number, because it can be changed into a prime (42853707321407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49934785 + ... + 50785727.

It is an arithmetic number, because the mean of its divisors is an integer number (400398935040).

Almost surely, 2^{42853707321408} is an apocalyptic number.

42853707321408 is a gapful number since it is divisible by the number (48) 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 42853707321408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67267021086720).

42853707321408 is an abundant number, since it is smaller than the sum of its proper divisors (91680334852032).

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

42853707321408 is a wasteful number, since it uses less digits than its factorization.

42853707321408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851154 (or 851141 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 42853707321408 in words is "forty-two trillion, eight hundred fifty-three billion, seven hundred seven million, three hundred twenty-one thousand, four hundred eight".