42816093141276 has 576 divisors, whose sum is σ = 139592697753600. Its totient is φ = 10755025661952.

The previous prime is 42816093141149. The next prime is 42816093141307. The reversal of 42816093141276 is 67214139061824.

42816093141276 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 609 + 3 + 1 + 4 + 1 + 27 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27463817785 + ... + 27463819343.

It is an arithmetic number, because the mean of its divisors is an integer number (242348433600).

Almost surely, 2^{42816093141276} is an apocalyptic number.

42816093141276 is a gapful number since it is divisible by the number (46) 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 42816093141276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69796348876800).

42816093141276 is an abundant number, since it is smaller than the sum of its proper divisors (96776604612324).

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

42816093141276 is a wasteful number, since it uses less digits than its factorization.

42816093141276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 42816093141276 in words is "forty-two trillion, eight hundred sixteen billion, ninety-three million, one hundred forty-one thousand, two hundred seventy-six".