11201542404 has 144 divisors (see below), whose sum is σ = 28923955200. Its totient is φ = 3371801472.

The previous prime is 11201542399. The next prime is 11201542439. The reversal of 11201542404 is 40424510211.

11201542404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11201542404² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 22269217 + ... + 22269719.

It is an arithmetic number, because the mean of its divisors is an integer number (200860800).

Almost surely, 2^11201542404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201542404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14461977600).

11201542404 is an abundant number, since it is smaller than the sum of its proper divisors (17722412796).

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

11201542404 is a wasteful number, since it uses less digits than its factorization.

11201542404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 11201542404 in words is "eleven billion, two hundred one million, five hundred forty-two thousand, four hundred four".