42970275811680 has 1152 divisors, whose sum is σ = 171696730060800. Its totient is φ = 8971928469504.

The previous prime is 42970275811669. The next prime is 42970275811693. The reversal of 42970275811680 is 8611857207924.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 191 ways as a sum of consecutive naturals, for example, 1863642712 + ... + 1863665768.

It is an arithmetic number, because the mean of its divisors is an integer number (149042300400).

Almost surely, 2^{42970275811680} is an apocalyptic number.

42970275811680 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 42970275811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85848365030400).

42970275811680 is an abundant number, since it is smaller than the sum of its proper divisors (128726454249120).

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

42970275811680 is a wasteful number, since it uses less digits than its factorization.

42970275811680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23244 (or 23229 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 60.

The spelling of 42970275811680 in words is "forty-two trillion, nine hundred seventy billion, two hundred seventy-five million, eight hundred eleven thousand, six hundred eighty".