42275301178880 has 640 divisors, whose sum is σ = 133228642821120. Its totient is φ = 12464019210240.

The previous prime is 42275301178871. The next prime is 42275301178883. The reversal of 42275301178880 is 8887110357224.

42275301178880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42275301178883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2535546224 + ... + 2535562896.

It is an arithmetic number, because the mean of its divisors is an integer number (208169754408).

Almost surely, 2^{42275301178880} is an apocalyptic number.

42275301178880 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 42275301178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66614321410560).

42275301178880 is an abundant number, since it is smaller than the sum of its proper divisors (90953341642240).

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

42275301178880 is a wasteful number, since it uses less digits than its factorization.

42275301178880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17410 (or 17394 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 56.

The spelling of 42275301178880 in words is "forty-two trillion, two hundred seventy-five billion, three hundred one million, one hundred seventy-eight thousand, eight hundred eighty".