110021040003040 has 192 divisors, whose sum is σ = 269225004787200. Its totient is φ = 42461121669120.

The previous prime is 110021040003013. The next prime is 110021040003047. The reversal of 110021040003040 is 40300040120011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110021040003047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256705725 + ... + 257133955.

It is an arithmetic number, because the mean of its divisors is an integer number (1402213566600).

Almost surely, 2^{110021040003040} is an apocalyptic number.

110021040003040 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 110021040003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134612502393600).

110021040003040 is an abundant number, since it is smaller than the sum of its proper divisors (159203964784160).

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

110021040003040 is a wasteful number, since it uses less digits than its factorization.

110021040003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428745 (or 428737 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 110021040003040 its reverse (40300040120011), we get a palindrome (150321080123051).

The spelling of 110021040003040 in words is "one hundred ten trillion, twenty-one billion, forty million, three thousand, forty".