11103401400 has 288 divisors, whose sum is σ = 42599237760. Its totient is φ = 2342545920.

The previous prime is 11103401383. The next prime is 11103401411. The reversal of 11103401400 is 410430111.

11103401400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11103401400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 701979 + ... + 717621.

It is an arithmetic number, because the mean of its divisors is an integer number (147914020).

Almost surely, 2^11103401400 is an apocalyptic number.

11103401400 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 11103401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21299618880).

11103401400 is an abundant number, since it is smaller than the sum of its proper divisors (31495836360).

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

11103401400 is a wasteful number, since it uses less digits than its factorization.

11103401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15695 (or 15673 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11103401400 its reverse (410430111), we get a palindrome (11513831511).

The spelling of 11103401400 in words is "eleven billion, one hundred three million, four hundred one thousand, four hundred".