1414444123400 has 384 divisors, whose sum is σ = 4230934560000. Its totient is φ = 435891456000.

The previous prime is 1414444123343. The next prime is 1414444123537. The reversal of 1414444123400 is 43214444141.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67148870 + ... + 67169930.

It is an arithmetic number, because the mean of its divisors is an integer number (11018058750).

Almost surely, 2^{1414444123400} is an apocalyptic number.

1414444123400 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 1414444123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115467280000).

1414444123400 is an abundant number, since it is smaller than the sum of its proper divisors (2816490436600).

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

1414444123400 is a wasteful number, since it uses less digits than its factorization.

1414444123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21198 (or 21175 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 1414444123400 its reverse (43214444141), we get a palindrome (1457658567541).

The spelling of 1414444123400 in words is "one trillion, four hundred fourteen billion, four hundred forty-four million, one hundred twenty-three thousand, four hundred".