42811381248 has 160 divisors (see below), whose sum is σ = 127118471040. Its totient is φ = 12723978240.

The previous prime is 42811381241. The next prime is 42811381289. The reversal of 42811381248 is 84218311824.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42811381241) 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 15 ways as a sum of consecutive naturals, for example, 452983 + ... + 539273.

It is an arithmetic number, because the mean of its divisors is an integer number (794490444).

Almost surely, 2^42811381248 is an apocalyptic number.

42811381248 is a gapful number since it is divisible by the number (48) 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 42811381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63559235520).

42811381248 is an abundant number, since it is smaller than the sum of its proper divisors (84307089792).

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

42811381248 is a wasteful number, since it uses less digits than its factorization.

42811381248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86348 (or 86332 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The spelling of 42811381248 in words is "forty-two billion, eight hundred eleven million, three hundred eighty-one thousand, two hundred forty-eight".