11413022400 has 504 divisors, whose sum is σ = 44780508864. Its totient is φ = 2738995200.

The previous prime is 11413022399. The next prime is 11413022431. The reversal of 11413022400 is 422031411.

11413022400 is a `hidden beast` number, since 11 + 413 + 0 + 2 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7674457 + ... + 7675943.

It is an arithmetic number, because the mean of its divisors is an integer number (88850216).

Almost surely, 2^11413022400 is an apocalyptic number.

11413022400 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 11413022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22390254432).

11413022400 is an abundant number, since it is smaller than the sum of its proper divisors (33367486464).

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

11413022400 is a wasteful number, since it uses less digits than its factorization.

11413022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11413022400 its reverse (422031411), we get a palindrome (11835053811).

The spelling of 11413022400 in words is "eleven billion, four hundred thirteen million, twenty-two thousand, four hundred".