11111000400 has 90 divisors (see below), whose sum is σ = 38558270270. Its totient is φ = 2962932480.

The previous prime is 11111000393. The next prime is 11111000423. The reversal of 11111000400 is 400011111.

It can be written as a sum of positive squares in 3 ways, for example, as 45643536 + 11065356864 = 6756^2 + 105192^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1539595 + ... + 1546794.

Almost surely, 2^11111000400 is an apocalyptic number.

11111000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111000400 is an abundant number, since it is smaller than the sum of its proper divisors (27447269870).

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

11111000400 is a wasteful number, since it uses less digits than its factorization.

11111000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086413 (or 3086399 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11111000400 its reverse (400011111), we get a palindrome (11511011511).

The spelling of 11111000400 in words is "eleven billion, one hundred eleven million, four hundred", and thus it is an aban number.