42263500536224 has 192 divisors, whose sum is σ = 94514336784000. Its totient is φ = 18427368960000.

The previous prime is 42263500536223. The next prime is 42263500536227.

It is a happy number.

42263500536224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (42263500536221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017175802 + ... + 1017217350.

It is an arithmetic number, because the mean of its divisors is an integer number (492262170750).

Almost surely, 2^{42263500536224} is an apocalyptic number.

42263500536224 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 42263500536224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47257168392000).

42263500536224 is an abundant number, since it is smaller than the sum of its proper divisors (52250836247776).

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

42263500536224 is a wasteful number, since it uses less digits than its factorization.

42263500536224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42247 (or 42239 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 44.

It can be divided in two parts, 42263500 and 536224, that added together give a palindrome (42799724).

The spelling of 42263500536224 in words is "forty-two trillion, two hundred sixty-three billion, five hundred million, five hundred thirty-six thousand, two hundred twenty-four".