14446335640 has 128 divisors (see below), whose sum is σ = 35822891520. Its totient is φ = 5199667200.

The previous prime is 14446335619. The next prime is 14446335643. The reversal of 14446335640 is 4653364441.

It is a super-2 number, since 2×14446335640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 14446335593 and 14446335602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14446335643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26409847 + ... + 26410393.

It is an arithmetic number, because the mean of its divisors is an integer number (279866340).

Almost surely, 2^14446335640 is an apocalyptic number.

14446335640 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 14446335640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17911445760).

14446335640 is an abundant number, since it is smaller than the sum of its proper divisors (21376555880).

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

14446335640 is a wasteful number, since it uses less digits than its factorization.

14446335640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 14446335640 in words is "fourteen billion, four hundred forty-six million, three hundred thirty-five thousand, six hundred forty".