14076828810 has 320 divisors, whose sum is σ = 43111854720. Its totient is φ = 3264468480.

The previous prime is 14076828791. The next prime is 14076828817. The reversal of 14076828810 is 1882867041.

It is a super-2 number, since 2×14076828810² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14076828817) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40567057 + ... + 40567403.

It is an arithmetic number, because the mean of its divisors is an integer number (134724546).

Almost surely, 2^14076828810 is an apocalyptic number.

14076828810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14076828810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555927360).

14076828810 is an abundant number, since it is smaller than the sum of its proper divisors (29035025910).

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

14076828810 is a wasteful number, since it uses less digits than its factorization.

14076828810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 14076828810 in words is "fourteen billion, seventy-six million, eight hundred twenty-eight thousand, eight hundred ten".