11436422400 has 540 divisors, whose sum is σ = 45565242492. Its totient is φ = 2813460480.

The previous prime is 11436422399. The next prime is 11436422401. The reversal of 11436422400 is 422463411.

It is a happy number.

11436422400 is a `hidden beast` number, since 1 + 1 + 436 + 4 + 224 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11436422399) and next prime (11436422401).

It can be written as a sum of positive squares in 6 ways, for example, as 19927296 + 11416495104 = 4464^2 + 106848^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×11436422400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11436422401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6738352 + ... + 6740048.

Almost surely, 2^11436422400 is an apocalyptic number.

11436422400 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 11436422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22782621246).

11436422400 is an abundant number, since it is smaller than the sum of its proper divisors (34128820092).

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

11436422400 is a wasteful number, since it uses less digits than its factorization.

11436422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11436422400 its reverse (422463411), we get a palindrome (11858885811).

The spelling of 11436422400 in words is "eleven billion, four hundred thirty-six million, four hundred twenty-two thousand, four hundred".