42050070736128 has 576 divisors, whose sum is σ = 153131321925120. Its totient is φ = 11083908907008.

The previous prime is 42050070736123. The next prime is 42050070736147. The reversal of 42050070736128 is 82163707005024.

42050070736128 is a `hidden beast` number, since 4 + 2 + 0 + 500 + 70 + 73 + 6 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42050070736123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1180600176 + ... + 1180635792.

Almost surely, 2^{42050070736128} is an apocalyptic number.

42050070736128 is a gapful number since it is divisible by the number (48) 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 42050070736128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76565660962560).

42050070736128 is an abundant number, since it is smaller than the sum of its proper divisors (111081251188992).

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

42050070736128 is a wasteful number, since it uses less digits than its factorization.

42050070736128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37539 (or 37519 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 42050070736128 in words is "forty-two trillion, fifty billion, seventy million, seven hundred thirty-six thousand, one hundred twenty-eight".