110504640503040 has 864 divisors, whose sum is σ = 420754866094080. Its totient is φ = 24637740761088.

The previous prime is 110504640503029. The next prime is 110504640503149. The reversal of 110504640503040 is 40305046405011.

It is a super-2 number, since 2×110504640503040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110504640502992 and 110504640503010.

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, 1233720337 + ... + 1233809903.

It is an arithmetic number, because the mean of its divisors is an integer number (486984798720).

Almost surely, 2^{110504640503040} is an apocalyptic number.

110504640503040 is a gapful number since it is divisible by the number (10) 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 110504640503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210377433047040).

110504640503040 is an abundant number, since it is smaller than the sum of its proper divisors (310250225591040).

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

110504640503040 is an equidigital number, since it uses as much as digits as its factorization.

110504640503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89767 (or 89746 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 110504640503040 its reverse (40305046405011), we get a palindrome (150809686908051).

The spelling of 110504640503040 in words is "one hundred ten trillion, five hundred four billion, six hundred forty million, five hundred three thousand, forty".