14435260640 has 96 divisors (see below), whose sum is σ = 36269039520. Its totient is φ = 5413699584.

The previous prime is 14435260613. The next prime is 14435260657. The reversal of 14435260640 is 4606253441.

It is a self number, because there is not a number n which added to its sum of digits gives 14435260640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270404 + ... + 319356.

It is an arithmetic number, because the mean of its divisors is an integer number (377802495).

Almost surely, 2^14435260640 is an apocalyptic number.

14435260640 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 14435260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18134519760).

14435260640 is an abundant number, since it is smaller than the sum of its proper divisors (21833778880).

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

14435260640 is a wasteful number, since it uses less digits than its factorization.

14435260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49084 (or 49076 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 14435260640 in words is "fourteen billion, four hundred thirty-five million, two hundred sixty thousand, six hundred forty".