14100400442400 has 288 divisors, whose sum is σ = 48316163817600. Its totient is φ = 3564793774080.

The previous prime is 14100400442389. The next prime is 14100400442461. The reversal of 14100400442400 is 424400400141.

It is a happy number.

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

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, 5107326 + ... + 7367874.

It is an arithmetic number, because the mean of its divisors is an integer number (167764457700).

Almost surely, 2^{14100400442400} is an apocalyptic number.

14100400442400 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 14100400442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24158081908800).

14100400442400 is an abundant number, since it is smaller than the sum of its proper divisors (34215763375200).

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

14100400442400 is a wasteful number, since it uses less digits than its factorization.

14100400442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260708 (or 2260695 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14100400442400 its reverse (424400400141), we get a palindrome (14524800842541).

The spelling of 14100400442400 in words is "fourteen trillion, one hundred billion, four hundred million, four hundred forty-two thousand, four hundred".