42061179006 has 192 divisors, whose sum is σ = 117541711872. Its totient is φ = 10549440000.

The previous prime is 42061178993. The next prime is 42061179011. The reversal of 42061179006 is 60097116024.

42061179006 is a `hidden beast` number, since 420 + 61 + 179 + 0 + 0 + 6 = 666.

42061179006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28399786 + ... + 28401266.

It is an arithmetic number, because the mean of its divisors is an integer number (612196416).

Almost surely, 2^42061179006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42061179006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58770855936).

42061179006 is an abundant number, since it is smaller than the sum of its proper divisors (75480532866).

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

42061179006 is a wasteful number, since it uses less digits than its factorization.

42061179006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 42061179006 in words is "forty-two billion, sixty-one million, one hundred seventy-nine thousand, six".