11404414257404 has 96 divisors (see below), whose sum is σ = 24629560123392. Its totient is φ = 4513006080000.

The previous prime is 11404414257377. The next prime is 11404414257407. The reversal of 11404414257404 is 40475241440411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11404414257407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7293284 + ... + 8717844.

It is an arithmetic number, because the mean of its divisors is an integer number (256557917952).

Almost surely, 2^{11404414257404} is an apocalyptic number.

11404414257404 is a gapful number since it is divisible by the number (14) 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 11404414257404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12314780061696).

11404414257404 is an abundant number, since it is smaller than the sum of its proper divisors (13225145865988).

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

11404414257404 is a wasteful number, since it uses less digits than its factorization.

11404414257404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425027 (or 1425025 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 41.

Adding to 11404414257404 its reverse (40475241440411), we get a palindrome (51879655697815).

The spelling of 11404414257404 in words is "eleven trillion, four hundred four billion, four hundred fourteen million, two hundred fifty-seven thousand, four hundred four".