42879822897824 has 96 divisors (see below), whose sum is σ = 96949744032960. Its totient is φ = 18463373107200.

The previous prime is 42879822897803. The next prime is 42879822897827.

42879822897824 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42879822897827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77445392 + ... + 77997104.

It is an arithmetic number, because the mean of its divisors is an integer number (1009893167010).

Almost surely, 2^{42879822897824} is an apocalyptic number.

42879822897824 is a gapful number since it is divisible by the number (44) 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 42879822897824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48474872016480).

42879822897824 is an abundant number, since it is smaller than the sum of its proper divisors (54069921135136).

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

42879822897824 is a wasteful number, since it uses less digits than its factorization.

42879822897824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563374 (or 563366 counting only the distinct ones).

The product of its digits is 4161798144, while the sum is 80.

The spelling of 42879822897824 in words is "forty-two trillion, eight hundred seventy-nine billion, eight hundred twenty-two million, eight hundred ninety-seven thousand, eight hundred twenty-four".