11400224312400 has 240 divisors, whose sum is σ = 45529831285248. Its totient is φ = 2368877760000.

The previous prime is 11400224312369. The next prime is 11400224312419. The reversal of 11400224312400 is 421342200411.

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

It is a super-2 number, since 2×11400224312400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61597126 + ... + 61781925.

Almost surely, 2^{11400224312400} is an apocalyptic number.

11400224312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11400224312400 is an abundant number, since it is smaller than the sum of its proper divisors (34129606972848).

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

11400224312400 is a wasteful number, since it uses less digits than its factorization.

11400224312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123379090 (or 123379079 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11400224312400 its reverse (421342200411), we get a palindrome (11821566512811).

The spelling of 11400224312400 in words is "eleven trillion, four hundred billion, two hundred twenty-four million, three hundred twelve thousand, four hundred".