11431424030400 has 336 divisors, whose sum is σ = 45460119473280. Its totient is φ = 2771254195200.

The previous prime is 11431424030381. The next prime is 11431424030423. The reversal of 11431424030400 is 403042413411.

11431424030400 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 14 + 240 + 3 + 0 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11552814 + ... + 12503213.

Almost surely, 2^{11431424030400} is an apocalyptic number.

11431424030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11431424030400 is an abundant number, since it is smaller than the sum of its proper divisors (34028695442880).

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

11431424030400 is a wasteful number, since it uses less digits than its factorization.

11431424030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24056069 (or 24056048 counting only the distinct ones).

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

Adding to 11431424030400 its reverse (403042413411), we get a palindrome (11834466443811).

The spelling of 11431424030400 in words is "eleven trillion, four hundred thirty-one billion, four hundred twenty-four million, thirty thousand, four hundred".