111111402400 has 72 divisors (see below), whose sum is σ = 275697565164. Its totient is φ = 43715942400.

The previous prime is 111111402361. The next prime is 111111402407. The reversal of 111111402400 is 4204111111.

It can be written as a sum of positive squares in 6 ways, for example, as 46006818064 + 65104584336 = 214492^2 + 255156^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (111111402407) by changing a digit.

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, 1089637 + ... + 1187236.

Almost surely, 2^111111402400 is an apocalyptic number.

111111402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111111402400 is an abundant number, since it is smaller than the sum of its proper divisors (164586162764).

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

111111402400 is a wasteful number, since it uses less digits than its factorization.

111111402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276954 (or 2276941 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111111402400 its reverse (4204111111), we get a palindrome (115315513511).

The spelling of 111111402400 in words is "one hundred eleven billion, one hundred eleven million, four hundred two thousand, four hundred".