111505430400 has 768 divisors, whose sum is σ = 456562444800. Its totient is φ = 23290675200.

The previous prime is 111505430353. The next prime is 111505430401. The reversal of 111505430400 is 4034505111.

It is a happy number.

111505430400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111505430400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111505430401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95221815 + ... + 95222985.

It is an arithmetic number, because the mean of its divisors is an integer number (594482350).

Almost surely, 2^111505430400 is an apocalyptic number.

111505430400 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 111505430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228281222400).

111505430400 is an abundant number, since it is smaller than the sum of its proper divisors (345057014400).

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

111505430400 is a wasteful number, since it uses less digits than its factorization.

111505430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 111505430400 its reverse (4034505111), we get a palindrome (115539935511).

The spelling of 111505430400 in words is "one hundred eleven billion, five hundred five million, four hundred thirty thousand, four hundred".