11404234153200 has 480 divisors, whose sum is σ = 42192462366720. Its totient is φ = 2579139763200.

The previous prime is 11404234153157. The next prime is 11404234153223. The reversal of 11404234153200 is 235143240411.

11404234153200 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 772061815 + ... + 772076585.

It is an arithmetic number, because the mean of its divisors is an integer number (87900963264).

Almost surely, 2^{11404234153200} is an apocalyptic number.

11404234153200 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 11404234153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21096231183360).

11404234153200 is an abundant number, since it is smaller than the sum of its proper divisors (30788228213520).

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

11404234153200 is a wasteful number, since it uses less digits than its factorization.

11404234153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15765 (or 15754 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 11404234153200 its reverse (235143240411), we get a palindrome (11639377393611).

The spelling of 11404234153200 in words is "eleven trillion, four hundred four billion, two hundred thirty-four million, one hundred fifty-three thousand, two hundred".