42209514290106 has 192 divisors, whose sum is σ = 97172711216640. Its totient is φ = 13576369098240.

The previous prime is 42209514290089. The next prime is 42209514290107. The reversal of 42209514290106 is 60109241590224.

42209514290106 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 9 + 514 + 29 + 0 + 106 = 666.

It is a super-2 number, since 2×42209514290106² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42209514290107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5597332696 + ... + 5597340236.

It is an arithmetic number, because the mean of its divisors is an integer number (506107870920).

Almost surely, 2^{42209514290106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42209514290106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48586355608320).

42209514290106 is an abundant number, since it is smaller than the sum of its proper divisors (54963196926534).

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

42209514290106 is a wasteful number, since it uses less digits than its factorization.

42209514290106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8118 (or 8039 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 42209514290106 in words is "forty-two trillion, two hundred nine billion, five hundred fourteen million, two hundred ninety thousand, one hundred six".