10111105440000 has 1620 divisors, whose sum is σ = 39243582233856. Its totient is φ = 2498107392000.

The previous prime is 10111105439989. The next prime is 10111105440001. The reversal of 10111105440000 is 4450111101.

10111105440000 is a `hidden beast` number, since 1 + 0 + 11 + 110 + 544 + 0 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10111105440001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 45341279889 + ... + 45341280111.

Almost surely, 2^{10111105440000} is an apocalyptic number.

10111105440000 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 10111105440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19621791116928).

10111105440000 is an abundant number, since it is smaller than the sum of its proper divisors (29132476793856).

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

10111105440000 is an equidigital number, since it uses as much as digits as its factorization.

10111105440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 10111105440000 its reverse (4450111101), we get a palindrome (10115555551101).

The spelling of 10111105440000 in words is "ten trillion, one hundred eleven billion, one hundred five million, four hundred forty thousand".