111011000040 has 256 divisors, whose sum is σ = 373257964800. Its totient is φ = 29346250752.

The previous prime is 111011000029. The next prime is 111011000053. The reversal of 111011000040 is 40000110111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111010999986 and 111011000031.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118474452 + ... + 118475388.

It is an arithmetic number, because the mean of its divisors is an integer number (1458038925).

Almost surely, 2^111011000040 is an apocalyptic number.

111011000040 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 111011000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186628982400).

111011000040 is an abundant number, since it is smaller than the sum of its proper divisors (262246964760).

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

111011000040 is a wasteful number, since it uses less digits than its factorization.

111011000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111011000040 its reverse (40000110111), we get a palindrome (151011110151).

The spelling of 111011000040 in words is "one hundred eleven billion, eleven million, forty", and thus it is an aban number.