111917245440 has 1408 divisors, whose sum is σ = 499171921920. Its totient is φ = 20643840000.

The previous prime is 111917245417. The next prime is 111917245457. The reversal of 111917245440 is 44542719111.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 445885315 + ... + 445885565.

Almost surely, 2^111917245440 is an apocalyptic number.

111917245440 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 111917245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249585960960).

111917245440 is an abundant number, since it is smaller than the sum of its proper divisors (387254676480).

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

111917245440 is a wasteful number, since it uses less digits than its factorization.

111917245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 111917245440 in words is "one hundred eleven billion, nine hundred seventeen million, two hundred forty-five thousand, four hundred forty".