111110023440 has 240 divisors, whose sum is σ = 404231471280. Its totient is φ = 27349770240.

The previous prime is 111110023313. The next prime is 111110023457. The reversal of 111110023440 is 44320011111.

111110023440 is a `hidden beast` number, since 111 + 110 + 0 + 2 + 3 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43057910016 + 68052113424 = 207504^2 + 260868^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1546720 + ... + 1616960.

It is an arithmetic number, because the mean of its divisors is an integer number (1684297797).

Almost surely, 2^111110023440 is an apocalyptic number.

111110023440 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 111110023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202115735640).

111110023440 is an abundant number, since it is smaller than the sum of its proper divisors (293121447840).

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

111110023440 is a wasteful number, since it uses less digits than its factorization.

111110023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70299 (or 70264 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 111110023440 its reverse (44320011111), we get a palindrome (155430034551).

The spelling of 111110023440 in words is "one hundred eleven billion, one hundred ten million, twenty-three thousand, four hundred forty".