42187291776 has 256 divisors, whose sum is σ = 145772524800. Its totient is φ = 11759247360.

The previous prime is 42187291747. The next prime is 42187291777. The reversal of 42187291776 is 67719278124.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42187291777) 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 31 ways as a sum of consecutive naturals, for example, 970606 + ... + 1013138.

It is an arithmetic number, because the mean of its divisors is an integer number (569423925).

Almost surely, 2^42187291776 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 42187291776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72886262400).

42187291776 is an abundant number, since it is smaller than the sum of its proper divisors (103585233024).

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

42187291776 is a wasteful number, since it uses less digits than its factorization.

42187291776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42604 (or 42586 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The spelling of 42187291776 in words is "forty-two billion, one hundred eighty-seven million, two hundred ninety-one thousand, seven hundred seventy-six".