42257642270144 has 168 divisors, whose sum is σ = 97986157486272. Its totient is φ = 18028683509760.

The previous prime is 42257642270117. The next prime is 42257642270161. The reversal of 42257642270144 is 44107224675224.

It is a junction number, because it is equal to n+sod(n) for n = 42257642270092 and 42257642270101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2461553849 + ... + 2461571015.

Almost surely, 2^{42257642270144} 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 42257642270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48993078743136).

42257642270144 is an abundant number, since it is smaller than the sum of its proper divisors (55728515216128).

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

42257642270144 is a wasteful number, since it uses less digits than its factorization.

42257642270144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20691 (or 20674 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 50.

The spelling of 42257642270144 in words is "forty-two trillion, two hundred fifty-seven billion, six hundred forty-two million, two hundred seventy thousand, one hundred forty-four".