42059123293824 has 3456 divisors, whose sum is σ = 171060628939200. Its totient is φ = 9797132943360.

The previous prime is 42059123293777. The next prime is 42059123293871. The reversal of 42059123293824 is 42839232195024.

42059123293824 is a `hidden beast` number, since 4 + 2 + 0 + 591 + 2 + 3 + 29 + 3 + 8 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (42059123293777) and next prime (42059123293871).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 576152373852 + ... + 576152373924.

Almost surely, 2^{42059123293824} 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 42059123293824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85530314469600).

42059123293824 is an abundant number, since it is smaller than the sum of its proper divisors (129001505645376).

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

42059123293824 is a wasteful number, since it uses less digits than its factorization.

42059123293824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 42059123293824 in words is "forty-two trillion, fifty-nine billion, one hundred twenty-three million, two hundred ninety-three thousand, eight hundred twenty-four".