14281632420 has 432 divisors, whose sum is σ = 47925198720. Its totient is φ = 3168844800.

The previous prime is 14281632413. The next prime is 14281632437. The reversal of 14281632420 is 2423618241.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 160467736 + ... + 160467824.

It is an arithmetic number, because the mean of its divisors is an integer number (110937960).

Almost surely, 2^14281632420 is an apocalyptic number.

14281632420 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 14281632420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23962599360).

14281632420 is an abundant number, since it is smaller than the sum of its proper divisors (33643566300).

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

14281632420 is a wasteful number, since it uses less digits than its factorization.

14281632420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 14281632420 in words is "fourteen billion, two hundred eighty-one million, six hundred thirty-two thousand, four hundred twenty".