111407405040 has 240 divisors, whose sum is σ = 383813434368. Its totient is φ = 28946456064.

The previous prime is 111407405009. The next prime is 111407405047. The reversal of 111407405040 is 40504704111.

111407405040 is a `hidden beast` number, since 1 + 114 + 0 + 7 + 40 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 111407404995 and 111407405013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111407405047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7674429 + ... + 7688931.

Almost surely, 2^111407405040 is an apocalyptic number.

111407405040 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 111407405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191906717184).

111407405040 is an abundant number, since it is smaller than the sum of its proper divisors (272406029328).

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

111407405040 is a wasteful number, since it uses less digits than its factorization.

111407405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14796 (or 14787 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 111407405040 in words is "one hundred eleven billion, four hundred seven million, four hundred five thousand, forty".