14122668840 has 512 divisors, whose sum is σ = 53968896000. Its totient is φ = 2882221056.

The previous prime is 14122668809. The next prime is 14122668869. The reversal of 14122668840 is 4886622141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14122668792 and 14122668801.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28999077 + ... + 28999563.

It is an arithmetic number, because the mean of its divisors is an integer number (105408000).

Almost surely, 2^14122668840 is an apocalyptic number.

14122668840 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 14122668840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26984448000).

14122668840 is an abundant number, since it is smaller than the sum of its proper divisors (39846227160).

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

14122668840 is a wasteful number, since it uses less digits than its factorization.

14122668840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 14122668840 in words is "fourteen billion, one hundred twenty-two million, six hundred sixty-eight thousand, eight hundred forty".