110420414400 has 84 divisors (see below), whose sum is σ = 362270991992. Its totient is φ = 29445442560.

The previous prime is 110420414371. The next prime is 110420414431. The reversal of 110420414400 is 4414024011.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11497327 + ... + 11506926.

Almost surely, 2^110420414400 is an apocalyptic number.

110420414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110420414400 is an abundant number, since it is smaller than the sum of its proper divisors (251850577592).

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

110420414400 is a wasteful number, since it uses less digits than its factorization.

110420414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23004278 (or 23004263 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 110420414400 its reverse (4414024011), we get a palindrome (114834438411).

The spelling of 110420414400 in words is "one hundred ten billion, four hundred twenty million, four hundred fourteen thousand, four hundred".