14364060040 has 144 divisors (see below), whose sum is σ = 37497006540. Its totient is φ = 4947782400.

The previous prime is 14364060017. The next prime is 14364060049. The reversal of 14364060040 is 4006046341.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13796381764 + 567678276 = 117458^2 + 23826^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14364059990 and 14364060008.

It is not an unprimeable number, because it can be changed into a prime (14364060049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1743130 + ... + 1751350.

Almost surely, 2^14364060040 is an apocalyptic number.

14364060040 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 14364060040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748503270).

14364060040 is an abundant number, since it is smaller than the sum of its proper divisors (23132946500).

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

14364060040 is a wasteful number, since it uses less digits than its factorization.

14364060040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292 (or 8258 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 14364060040 in words is "fourteen billion, three hundred sixty-four million, sixty thousand, forty".