111408272640 has 576 divisors, whose sum is σ = 460400371200. Its totient is φ = 24981405696.

The previous prime is 111408272629. The next prime is 111408272659. The reversal of 111408272640 is 46272804111.

It is a happy number.

111408272640 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 0 + 8 + 2 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 111408272595 and 111408272604.

It is a congruent number.

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, 12817416 + ... + 12826104.

It is an arithmetic number, because the mean of its divisors is an integer number (799306200).

Almost surely, 2^111408272640 is an apocalyptic number.

111408272640 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 111408272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230200185600).

111408272640 is an abundant number, since it is smaller than the sum of its proper divisors (348992098560).

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

111408272640 is an equidigital number, since it uses as much as digits as its factorization.

111408272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8779 (or 8759 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 111408272640 in words is "one hundred eleven billion, four hundred eight million, two hundred seventy-two thousand, six hundred forty".