42254622645224 has 64 divisors (see below), whose sum is σ = 87333182052480. Its totient is φ = 19006193664000.

The previous prime is 42254622645211. The next prime is 42254622645239.

42254622645224 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10623464 + ... + 14048744.

It is an arithmetic number, because the mean of its divisors is an integer number (1364580969570).

Almost surely, 2^{42254622645224} is an apocalyptic number.

42254622645224 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 42254622645224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43666591026240).

42254622645224 is an abundant number, since it is smaller than the sum of its proper divisors (45078559407256).

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

42254622645224 is a wasteful number, since it uses less digits than its factorization.

42254622645224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426762 (or 3426758 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 50.

The spelling of 42254622645224 in words is "forty-two trillion, two hundred fifty-four billion, six hundred twenty-two million, six hundred forty-five thousand, two hundred twenty-four".