14413010110400 has 336 divisors, whose sum is σ = 39622824691200. Its totient is φ = 5116070400000.

The previous prime is 14413010110393. The next prime is 14413010110427. The reversal of 14413010110400 is 401101031441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 126152501 + ... + 126266699.

Almost surely, 2^{14413010110400} is an apocalyptic number.

14413010110400 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 14413010110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19811412345600).

14413010110400 is an abundant number, since it is smaller than the sum of its proper divisors (25209814580800).

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

14413010110400 is a wasteful number, since it uses less digits than its factorization.

14413010110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114404 (or 114389 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 14413010110400 its reverse (401101031441), we get a palindrome (14814111141841).

The spelling of 14413010110400 in words is "fourteen trillion, four hundred thirteen billion, ten million, one hundred ten thousand, four hundred".