11410413424400 has 120 divisors (see below), whose sum is σ = 28306117292544. Its totient is φ = 4415639961600.

The previous prime is 11410413424391. The next prime is 11410413424429. The reversal of 11410413424400 is 442431401411.

It is a happy 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, 42733709 + ... + 42999891.

Almost surely, 2^{11410413424400} is an apocalyptic number.

11410413424400 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 11410413424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14153058646272).

11410413424400 is an abundant number, since it is smaller than the sum of its proper divisors (16895703868144).

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

11410413424400 is a wasteful number, since it uses less digits than its factorization.

11410413424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269689 (or 269678 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 11410413424400 its reverse (442431401411), we get a palindrome (11852844825811).

The spelling of 11410413424400 in words is "eleven trillion, four hundred ten billion, four hundred thirteen million, four hundred twenty-four thousand, four hundred".