42301275355360 has 384 divisors, whose sum is σ = 121083409198080. Its totient is φ = 13641993437184.

The previous prime is 42301275355349. The next prime is 42301275355397. The reversal of 42301275355360 is 6355357210324.

It is a self number, because there is not a number n which added to its sum of digits gives 42301275355360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3805092522 + ... + 3805103638.

It is an arithmetic number, because the mean of its divisors is an integer number (315321378120).

Almost surely, 2^{42301275355360} is an apocalyptic number.

42301275355360 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 42301275355360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60541704599040).

42301275355360 is an abundant number, since it is smaller than the sum of its proper divisors (78782133842720).

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

42301275355360 is a wasteful number, since it uses less digits than its factorization.

42301275355360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12418 (or 12410 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 46.

The spelling of 42301275355360 in words is "forty-two trillion, three hundred one billion, two hundred seventy-five million, three hundred fifty-five thousand, three hundred sixty".