42380135006976 has 360 divisors, whose sum is σ = 136534214021744. Its totient is φ = 12997540454400.

The previous prime is 42380135006971. The next prime is 42380135007019. The reversal of 42380135006976 is 67960053108324.

42380135006976 is a `hidden beast` number, since 4 + 2 + 3 + 8 + 0 + 1 + 3 + 500 + 69 + 76 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42380135006971) 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 39 ways as a sum of consecutive naturals, for example, 82501326 + ... + 83013426.

It is a 2-persistent number, because it is pandigital, and so is 2⋅42380135006976 = 84760270013952, but 3⋅42380135006976 = 127140405020928 is not.

Almost surely, 2^{42380135006976} 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 42380135006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68267107010872).

42380135006976 is an abundant number, since it is smaller than the sum of its proper divisors (94154079014768).

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

42380135006976 is a wasteful number, since it uses less digits than its factorization.

42380135006976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512449 (or 512426 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 42380135006976 in words is "forty-two trillion, three hundred eighty billion, one hundred thirty-five million, six thousand, nine hundred seventy-six".