110403406710072 has 320 divisors, whose sum is σ = 354522085632000. Its totient is φ = 31444432740864.

The previous prime is 110403406710071. The next prime is 110403406710089. The reversal of 110403406710072 is 270017604304011.

110403406710072 is a `hidden beast` number, since 110 + 4 + 0 + 3 + 406 + 71 + 0 + 0 + 72 = 666.

It is a super-2 number, since 2×110403406710072² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110403406710071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5079043588 + ... + 5079065324.

It is an arithmetic number, because the mean of its divisors is an integer number (1107881517600).

Almost surely, 2^{110403406710072} is an apocalyptic number.

110403406710072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110403406710072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177261042816000).

110403406710072 is an abundant number, since it is smaller than the sum of its proper divisors (244118678921928).

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

110403406710072 is a wasteful number, since it uses less digits than its factorization.

110403406710072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25240 (or 25227 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 110403406710072 in words is "one hundred ten trillion, four hundred three billion, four hundred six million, seven hundred ten thousand, seventy-two".