42257641140 has 192 divisors, whose sum is σ = 154452453120. Its totient is φ = 9456238080.

The previous prime is 42257641117. The next prime is 42257641169. The reversal of 42257641140 is 4114675224.

42257641140 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 7 + 641 + 1 + 4 + 0 = 666.

42257641140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42257641095 and 42257641104.

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, 196399 + ... + 350838.

It is an arithmetic number, because the mean of its divisors is an integer number (804439860).

Almost surely, 2^42257641140 is an apocalyptic number.

It is an amenable number.

42257641140 is an abundant number, since it is smaller than the sum of its proper divisors (112194811980).

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

42257641140 is a wasteful number, since it uses less digits than its factorization.

42257641140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547279 (or 547271 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 42257641140 in words is "forty-two billion, two hundred fifty-seven million, six hundred forty-one thousand, one hundred forty".