11114030400 has 336 divisors, whose sum is σ = 40860390720. Its totient is φ = 2621030400.

The previous prime is 11114030393. The next prime is 11114030429. The reversal of 11114030400 is 403041111.

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 11114030400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1950756 + ... + 1956444.

Almost surely, 2^11114030400 is an apocalyptic number.

11114030400 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 11114030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20430195360).

11114030400 is an abundant number, since it is smaller than the sum of its proper divisors (29746360320).

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

11114030400 is a wasteful number, since it uses less digits than its factorization.

11114030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762 (or 5747 counting only the distinct ones).

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

Adding to 11114030400 its reverse (403041111), we get a palindrome (11517071511).

It can be divided in two parts, 11 and 114030400, that added together give a palindrome (114030411).

The spelling of 11114030400 in words is "eleven billion, one hundred fourteen million, thirty thousand, four hundred".