14044010400420 has 768 divisors, whose sum is σ = 54305418166272. Its totient is φ = 2617045770240.

The previous prime is 14044010400379. The next prime is 14044010400437. The reversal of 14044010400420 is 2400401044041.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1615549594 + ... + 1615558286.

It is an arithmetic number, because the mean of its divisors is an integer number (70710179904).

Almost surely, 2^{14044010400420} is an apocalyptic number.

14044010400420 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 14044010400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27152709083136).

14044010400420 is an abundant number, since it is smaller than the sum of its proper divisors (40261407765852).

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

14044010400420 is a wasteful number, since it uses less digits than its factorization.

14044010400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9500 (or 9498 counting only the distinct ones).

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

Adding to 14044010400420 its reverse (2400401044041), we get a palindrome (16444411444461).

The spelling of 14044010400420 in words is "fourteen trillion, forty-four billion, ten million, four hundred thousand, four hundred twenty".