14429120640 has 256 divisors, whose sum is σ = 50486768640. Its totient is φ = 3476172800.

The previous prime is 14429120623. The next prime is 14429120647. The reversal of 14429120640 is 4602192441.

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

It is not an unprimeable number, because it can be changed into a prime (14429120647) 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 31 ways as a sum of consecutive naturals, for example, 3524995 + ... + 3529085.

It is an arithmetic number, because the mean of its divisors is an integer number (197213940).

Almost surely, 2^14429120640 is an apocalyptic number.

14429120640 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 14429120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25243384320).

14429120640 is an abundant number, since it is smaller than the sum of its proper divisors (36057648000).

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

14429120640 is a wasteful number, since it uses less digits than its factorization.

14429120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 14429120640 in words is "fourteen billion, four hundred twenty-nine million, one hundred twenty thousand, six hundred forty".