42381146150496 has 192 divisors, whose sum is σ = 131369517316800. Its totient is φ = 13246616936448.

The previous prime is 42381146150491. The next prime is 42381146150503. The reversal of 42381146150496 is 69405164118324.

42381146150496 is a `hidden beast` number, since 4 + 2 + 3 + 8 + 1 + 1 + 46 + 1 + 504 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42381146150491) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1412175 + ... + 9314318.

It is an arithmetic number, because the mean of its divisors is an integer number (684216236025).

Almost surely, 2^{42381146150496} 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 42381146150496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65684758658400).

42381146150496 is an abundant number, since it is smaller than the sum of its proper divisors (88988371166304).

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

42381146150496 is a wasteful number, since it uses less digits than its factorization.

42381146150496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10726798 (or 10726784 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 42381146150496 in words is "forty-two trillion, three hundred eighty-one billion, one hundred forty-six million, one hundred fifty thousand, four hundred ninety-six".