111331101440 has 288 divisors, whose sum is σ = 307111948416. Its totient is φ = 38303170560.

The previous prime is 111331101367. The next prime is 111331101451. The reversal of 111331101440 is 44101133111.

It is a super-2 number, since 2×111331101440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29134730 + ... + 29138550.

It is an arithmetic number, because the mean of its divisors is an integer number (1066360932).

Almost surely, 2^111331101440 is an apocalyptic number.

111331101440 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 111331101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153555974208).

111331101440 is an abundant number, since it is smaller than the sum of its proper divisors (195780846976).

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

111331101440 is a wasteful number, since it uses less digits than its factorization.

111331101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 111331101440 its reverse (44101133111), we get a palindrome (155432234551).

The spelling of 111331101440 in words is "one hundred eleven billion, three hundred thirty-one million, one hundred one thousand, four hundred forty".