42542761140 has 192 divisors, whose sum is σ = 145346826240. Its totient is φ = 10244880000.

The previous prime is 42542761133. The next prime is 42542761181. The reversal of 42542761140 is 4116724524.

42542761140 is a `hidden beast` number, since 4 + 2 + 542 + 76 + 1 + 1 + 40 = 666.

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 = 42542761095 and 42542761104.

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, 873225 + ... + 920655.

It is an arithmetic number, because the mean of its divisors is an integer number (757014720).

Almost surely, 2^42542761140 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 42542761140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72673413120).

42542761140 is an abundant number, since it is smaller than the sum of its proper divisors (102804065100).

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

42542761140 is a wasteful number, since it uses less digits than its factorization.

42542761140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47611 (or 47603 counting only the distinct ones).

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

The spelling of 42542761140 in words is "forty-two billion, five hundred forty-two million, seven hundred sixty-one thousand, one hundred forty".