14434136103420 has 576 divisors, whose sum is σ = 49846603968000. Its totient is φ = 3464805611520.

The previous prime is 14434136103419. The next prime is 14434136103451. The reversal of 14434136103420 is 2430163143441.

14434136103420 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 4 + 1 + 3 + 610 + 34 + 2 + 0 = 666.

14434136103420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×14434136103420⁵ (a number of 67 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3805465044 + ... + 3805468836.

It is an arithmetic number, because the mean of its divisors is an integer number (86539243000).

Almost surely, 2^{14434136103420} is an apocalyptic number.

14434136103420 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 14434136103420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24923301984000).

14434136103420 is an abundant number, since it is smaller than the sum of its proper divisors (35412467864580).

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

14434136103420 is a wasteful number, since it uses less digits than its factorization.

14434136103420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 14434136103420 its reverse (2430163143441), we get a palindrome (16864299246861).

The spelling of 14434136103420 in words is "fourteen trillion, four hundred thirty-four billion, one hundred thirty-six million, one hundred three thousand, four hundred twenty".