42562658400012 has 384 divisors, whose sum is σ = 122181846958080. Its totient is φ = 12759531402240.

The previous prime is 42562658399993. The next prime is 42562658400013. The reversal of 42562658400012 is 21000485626524.

42562658400012 is a `hidden beast` number, since 4 + 2 + 5 + 62 + 6 + 584 + 0 + 0 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×42562658400012² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42562658400013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 631019673 + ... + 631087119.

It is an arithmetic number, because the mean of its divisors is an integer number (318181893120).

Almost surely, 2^{42562658400012} 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 42562658400012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61090923479040).

42562658400012 is an abundant number, since it is smaller than the sum of its proper divisors (79619188558068).

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

42562658400012 is a wasteful number, since it uses less digits than its factorization.

42562658400012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67698 (or 67690 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 42562658400012 in words is "forty-two trillion, five hundred sixty-two billion, six hundred fifty-eight million, four hundred thousand, twelve".