14029040256 has 512 divisors, whose sum is σ = 49586688000. Its totient is φ = 3477196800.

The previous prime is 14029040251. The next prime is 14029040281. The reversal of 14029040256 is 65204092041.

It is a super-3 number, since 3×14029040256³ (a number of 31 digits) contains 333 as substring.

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 (14029040251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33322926 + ... + 33323346.

It is an arithmetic number, because the mean of its divisors is an integer number (96849000).

Almost surely, 2^14029040256 is an apocalyptic number.

14029040256 is a gapful number since it is divisible by the number (16) 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 14029040256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24793344000).

14029040256 is an abundant number, since it is smaller than the sum of its proper divisors (35557647744).

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

14029040256 is a wasteful number, since it uses less digits than its factorization.

14029040256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 14029040256 in words is "fourteen billion, twenty-nine million, forty thousand, two hundred fifty-six".