42084340135776 has 384 divisors, whose sum is σ = 130277535897600. Its totient is φ = 13180013936640.

The previous prime is 42084340135771. The next prime is 42084340135787. The reversal of 42084340135776 is 67753104348024.

42084340135776 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 434 + 0 + 135 + 7 + 76 = 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 (42084340135771) 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, 1090446336 + ... + 1090484928.

It is an arithmetic number, because the mean of its divisors is an integer number (339264416400).

Almost surely, 2^{42084340135776} 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 42084340135776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65138767948800).

42084340135776 is an abundant number, since it is smaller than the sum of its proper divisors (88193195761824).

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

42084340135776 is a wasteful number, since it uses less digits than its factorization.

42084340135776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39179 (or 39165 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 42084340135776 in words is "forty-two trillion, eighty-four billion, three hundred forty million, one hundred thirty-five thousand, seven hundred seventy-six".