42250882807424 has 128 divisors (see below), whose sum is σ = 87027922962000. Its totient is φ = 20416352845824.

The previous prime is 42250882807391. The next prime is 42250882807439. The reversal of 42250882807424 is 42470828805224.

It can be written as a sum of positive squares in 8 ways, for example, as 39668330958400 + 2582551849024 = 6298280^2 + 1607032^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 42250882807424.

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, 2537734652 + ... + 2537751300.

Almost surely, 2^{42250882807424} 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 42250882807424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43513961481000).

42250882807424 is an abundant number, since it is smaller than the sum of its proper divisors (44777040154576).

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

42250882807424 is a wasteful number, since it uses less digits than its factorization.

42250882807424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20270 (or 20258 counting only the distinct ones).

The product of its (nonzero) digits is 18350080, while the sum is 56.

The spelling of 42250882807424 in words is "forty-two trillion, two hundred fifty billion, eight hundred eighty-two million, eight hundred seven thousand, four hundred twenty-four".