111334827240 has 960 divisors, whose sum is σ = 478543887360. Its totient is φ = 22708408320.

The previous prime is 111334827229. The next prime is 111334827293. The reversal of 111334827240 is 42728433111.

111334827240 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 348 + 272 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 111334827195 and 111334827204.

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 239 ways as a sum of consecutive naturals, for example, 118820052 + ... + 118820988.

It is an arithmetic number, because the mean of its divisors is an integer number (498483216).

Almost surely, 2^111334827240 is an apocalyptic number.

111334827240 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 111334827240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239271943680).

111334827240 is an abundant number, since it is smaller than the sum of its proper divisors (367209060120).

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

111334827240 is a wasteful number, since it uses less digits than its factorization.

111334827240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 111334827240 in words is "one hundred eleven billion, three hundred thirty-four million, eight hundred twenty-seven thousand, two hundred forty".