110430431440400 has 60 divisors (see below), whose sum is σ = 265318872769092. Its totient is φ = 44170547397120.

The previous prime is 110430431440391. The next prime is 110430431440493. The reversal of 110430431440400 is 4044134034011.

It can be written as a sum of positive squares in 6 ways, for example, as 370525429264 + 110059906011136 = 608708^2 + 10490944^2 .

It is a super-2 number, since 2×110430431440400² (a number of 29 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 5836142 + ... + 15966258.

Almost surely, 2^{110430431440400} is an apocalyptic number.

110430431440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110430431440400 is an abundant number, since it is smaller than the sum of its proper divisors (154888441328692).

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

110430431440400 is a wasteful number, since it uses less digits than its factorization.

110430431440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10157388 (or 10157377 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 110430431440400 its reverse (4044134034011), we get a palindrome (114474565474411).

The spelling of 110430431440400 in words is "one hundred ten trillion, four hundred thirty billion, four hundred thirty-one million, four hundred forty thousand, four hundred".