42853917120 has 448 divisors, whose sum is σ = 162590561280. Its totient is φ = 9355788288.

The previous prime is 42853917107. The next prime is 42853917133. The reversal of 42853917120 is 2171935824.

It is an interprime number because it is at equal distance from previous prime (42853917107) and next prime (42853917133).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 18902227 + ... + 18904493.

It is an arithmetic number, because the mean of its divisors is an integer number (362925360).

Almost surely, 2^42853917120 is an apocalyptic number.

42853917120 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 42853917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81295280640).

42853917120 is an abundant number, since it is smaller than the sum of its proper divisors (119736644160).

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

42853917120 is a wasteful number, since it uses less digits than its factorization.

42853917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 42853917120 in words is "forty-two billion, eight hundred fifty-three million, nine hundred seventeen thousand, one hundred twenty".