111404232310440 has 256 divisors, whose sum is σ = 348967172505600. Its totient is φ = 28419585868800.

The previous prime is 111404232310387. The next prime is 111404232310489. The reversal of 111404232310440 is 44013232404111.

It is a happy number.

It is a super-3 number, since 3×111404232310440³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 111404232310398 and 111404232310407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174443149 + ... + 175080611.

It is an arithmetic number, because the mean of its divisors is an integer number (1363153017600).

Almost surely, 2^{111404232310440} is an apocalyptic number.

111404232310440 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 111404232310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174483586252800).

111404232310440 is an abundant number, since it is smaller than the sum of its proper divisors (237562940195160).

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

111404232310440 is a wasteful number, since it uses less digits than its factorization.

111404232310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638048 (or 638044 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 111404232310440 its reverse (44013232404111), we get a palindrome (155417464714551).

The spelling of 111404232310440 in words is "one hundred eleven trillion, four hundred four billion, two hundred thirty-two million, three hundred ten thousand, four hundred forty".