11431014102400 has 96 divisors (see below), whose sum is σ = 29149086214080. Its totient is φ = 4424908646400.

The previous prime is 11431014102383. The next prime is 11431014102449. The reversal of 11431014102400 is 420141013411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57516799 + ... + 57715198.

It is an arithmetic number, because the mean of its divisors is an integer number (303636314730).

Almost surely, 2^{11431014102400} is an apocalyptic number.

11431014102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11431014102400 is an abundant number, since it is smaller than the sum of its proper divisors (17718072111680).

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

11431014102400 is a wasteful number, since it uses less digits than its factorization.

11431014102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115232052 (or 115232035 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 11431014102400 its reverse (420141013411), we get a palindrome (11851155115811).

The spelling of 11431014102400 in words is "eleven trillion, four hundred thirty-one billion, fourteen million, one hundred two thousand, four hundred".