11003201400 has 96 divisors (see below), whose sum is σ = 34156742400. Its totient is φ = 2930160000.

The previous prime is 11003201393. The next prime is 11003201413. The reversal of 11003201400 is 410230011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438391 + ... + 462809.

It is an arithmetic number, because the mean of its divisors is an integer number (355799400).

Almost surely, 2^11003201400 is an apocalyptic number.

11003201400 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 11003201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17078371200).

11003201400 is an abundant number, since it is smaller than the sum of its proper divisors (23153541000).

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

11003201400 is a wasteful number, since it uses less digits than its factorization.

11003201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25189 (or 25180 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11003201400 its reverse (410230011), we get a palindrome (11413431411).

The spelling of 11003201400 in words is "eleven billion, three million, two hundred one thousand, four hundred".