14419076820 has 96 divisors (see below), whose sum is σ = 42522278400. Its totient is φ = 3640662144.

The previous prime is 14419076807. The next prime is 14419076831. The reversal of 14419076820 is 2867091441.

It is a super-2 number, since 2×14419076820² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3813691 + ... + 3817469.

It is an arithmetic number, because the mean of its divisors is an integer number (442940400).

Almost surely, 2^14419076820 is an apocalyptic number.

14419076820 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 14419076820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21261139200).

14419076820 is an abundant number, since it is smaller than the sum of its proper divisors (28103201580).

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

14419076820 is a wasteful number, since it uses less digits than its factorization.

14419076820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157 (or 7155 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 14419076820 in words is "fourteen billion, four hundred nineteen million, seventy-six thousand, eight hundred twenty".