110214473040 has 960 divisors, whose sum is σ = 460442315520. Its totient is φ = 24141680640.

The previous prime is 110214473029. The next prime is 110214473069. The reversal of 110214473040 is 40374412011.

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

It is a junction number, because it is equal to n+sod(n) for n = 110214472995 and 110214473013.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 277618122 + ... + 277618518.

It is an arithmetic number, because the mean of its divisors is an integer number (479627412).

Almost surely, 2^110214473040 is an apocalyptic number.

110214473040 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 110214473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230221157760).

110214473040 is an abundant number, since it is smaller than the sum of its proper divisors (350227842480).

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

110214473040 is a wasteful number, since it uses less digits than its factorization.

110214473040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 110214473040 its reverse (40374412011), we get a palindrome (150588885051).

The spelling of 110214473040 in words is "one hundred ten billion, two hundred fourteen million, four hundred seventy-three thousand, forty".