111141896040 has 384 divisors, whose sum is σ = 432425347200. Its totient is φ = 25317411840.

The previous prime is 111141896039. The next prime is 111141896053. The reversal of 111141896040 is 40698141111.

111141896040 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 41 + 8 + 9 + 604 + 0 = 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 = 111141895986 and 111141896004.

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 95 ways as a sum of consecutive naturals, for example, 16243020 + ... + 16249860.

It is an arithmetic number, because the mean of its divisors is an integer number (1126107675).

Almost surely, 2^111141896040 is an apocalyptic number.

111141896040 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 111141896040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216212673600).

111141896040 is an abundant number, since it is smaller than the sum of its proper divisors (321283451160).

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

111141896040 is a wasteful number, since it uses less digits than its factorization.

111141896040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7182 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 111141896040 in words is "one hundred eleven billion, one hundred forty-one million, eight hundred ninety-six thousand, forty".