14028577920 has 640 divisors, whose sum is σ = 58210796160. Its totient is φ = 3153199104.

The previous prime is 14028577909. The next prime is 14028577931. The reversal of 14028577920 is 2977582041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14028577909) and next prime (14028577931).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24312672 + ... + 24313248.

It is an arithmetic number, because the mean of its divisors is an integer number (90954369).

Almost surely, 2^14028577920 is an apocalyptic number.

14028577920 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 14028577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29105398080).

14028577920 is an abundant number, since it is smaller than the sum of its proper divisors (44182218240).

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

14028577920 is an equidigital number, since it uses as much as digits as its factorization.

14028577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 14028577920 in words is "fourteen billion, twenty-eight million, five hundred seventy-seven thousand, nine hundred twenty".