42257577575224 has 256 divisors, whose sum is σ = 89678679552000. Its totient is φ = 18505864765440.

The previous prime is 42257577575203. The next prime is 42257577575233.

42257577575224 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24960174922 + ... + 24960176614.

It is an arithmetic number, because the mean of its divisors is an integer number (350307342000).

Almost surely, 2^{42257577575224} is an apocalyptic number.

42257577575224 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 42257577575224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44839339776000).

42257577575224 is an abundant number, since it is smaller than the sum of its proper divisors (47421101976776).

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

42257577575224 is a wasteful number, since it uses less digits than its factorization.

42257577575224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2354 counting only the distinct ones).

The product of its digits is 384160000, while the sum is 64.

The spelling of 42257577575224 in words is "forty-two trillion, two hundred fifty-seven billion, five hundred seventy-seven million, five hundred seventy-five thousand, two hundred twenty-four".