42186225744 has 240 divisors, whose sum is σ = 133927178112. Its totient is φ = 12298632192.

The previous prime is 42186225733. The next prime is 42186225761. The reversal of 42186225744 is 44752268124.

42186225744 is a `hidden beast` number, since 4 + 2 + 18 + 62 + 2 + 574 + 4 = 666.

42186225744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42186225744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4602414 + ... + 4611570.

Almost surely, 2^42186225744 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 42186225744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66963589056).

42186225744 is an abundant number, since it is smaller than the sum of its proper divisors (91740952368).

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

42186225744 is a wasteful number, since it uses less digits than its factorization.

42186225744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9314 (or 9305 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 42186225744 in words is "forty-two billion, one hundred eighty-six million, two hundred twenty-five thousand, seven hundred forty-four".