110406321001242 has 256 divisors, whose sum is σ = 289393931059200. Its totient is φ = 30545535767040.

The previous prime is 110406321001217. The next prime is 110406321001337. The reversal of 110406321001242 is 242100123604011.

110406321001242 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 0 + 632 + 1 + 0 + 0 + 1 + 24 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2850720934 + ... + 2850759662.

It is an arithmetic number, because the mean of its divisors is an integer number (1130445043200).

Almost surely, 2^{110406321001242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110406321001242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144696965529600).

110406321001242 is an abundant number, since it is smaller than the sum of its proper divisors (178987610057958).

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

110406321001242 is a wasteful number, since it uses less digits than its factorization.

110406321001242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40298 (or 40292 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 110406321001242 its reverse (242100123604011), we get a palindrome (352506444605253).

The spelling of 110406321001242 in words is "one hundred ten trillion, four hundred six billion, three hundred twenty-one million, one thousand, two hundred forty-two".