11413302212400 has 240 divisors, whose sum is σ = 39894456555648. Its totient is φ = 2766156800000.

The previous prime is 11413302212399. The next prime is 11413302212407. The reversal of 11413302212400 is 421220331411.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11413302212407) 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 47 ways as a sum of consecutive naturals, for example, 52705147 + ... + 52921253.

Almost surely, 2^{11413302212400} is an apocalyptic number.

11413302212400 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 11413302212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19947228277824).

11413302212400 is an abundant number, since it is smaller than the sum of its proper divisors (28481154343248).

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

11413302212400 is a wasteful number, since it uses less digits than its factorization.

11413302212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220140 (or 220129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11413302212400 its reverse (421220331411), we get a palindrome (11834522543811).

The spelling of 11413302212400 in words is "eleven trillion, four hundred thirteen billion, three hundred two million, two hundred twelve thousand, four hundred".