42970104567936 has 1536 divisors, whose sum is σ = 165293951961600. Its totient is φ = 10699975065600.

The previous prime is 42970104567911. The next prime is 42970104567937. The reversal of 42970104567936 is 63976540107924.

42970104567936 is a `hidden beast` number, since 4 + 2 + 9 + 70 + 10 + 456 + 79 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (42970104567937) by changing a digit.

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, 52338738406 + ... + 52338739226.

It is an arithmetic number, because the mean of its divisors is an integer number (107613249975).

Almost surely, 2^{42970104567936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42970104567936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82646975980800).

42970104567936 is an abundant number, since it is smaller than the sum of its proper divisors (122323847393664).

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

42970104567936 is a wasteful number, since it uses less digits than its factorization.

42970104567936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 42970104567936 in words is "forty-two trillion, nine hundred seventy billion, one hundred four million, five hundred sixty-seven thousand, nine hundred thirty-six".