14414319690400 has 216 divisors, whose sum is σ = 41081901394716. Its totient is φ = 4924207411200.

The previous prime is 14414319690391. The next prime is 14414319690409. The reversal of 14414319690400 is 409691341441.

It is an interprime number because it is at equal distance from previous prime (14414319690391) and next prime (14414319690409).

It can be written as a sum of positive squares in 6 ways, for example, as 6242062521744 + 8172257168656 = 2498412^2 + 2858716^2 .

It is a super-2 number, since 2×14414319690400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14414319690409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10194660 + ... + 11522140.

Almost surely, 2^{14414319690400} is an apocalyptic number.

14414319690400 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 14414319690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20540950697358).

14414319690400 is an abundant number, since it is smaller than the sum of its proper divisors (26667581704316).

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

14414319690400 is a wasteful number, since it uses less digits than its factorization.

14414319690400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327792 (or 1327772 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 14414319690400 in words is "fourteen trillion, four hundred fourteen billion, three hundred nineteen million, six hundred ninety thousand, four hundred".