14246375440 has 120 divisors (see below), whose sum is σ = 36520709400. Its totient is φ = 5164431360.

The previous prime is 14246375419. The next prime is 14246375441. The reversal of 14246375440 is 4457364241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5438177536 + 8808197904 = 73744^2 + 93852^2 .

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 = 14246375393 and 14246375402.

It is not an unprimeable number, because it can be changed into a prime (14246375441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3376212 + ... + 3380428.

It is an arithmetic number, because the mean of its divisors is an integer number (304339245).

Almost surely, 2^14246375440 is an apocalyptic number.

14246375440 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 14246375440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18260354700).

14246375440 is an abundant number, since it is smaller than the sum of its proper divisors (22274333960).

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

14246375440 is a wasteful number, since it uses less digits than its factorization.

14246375440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 14246375440 in words is "fourteen billion, two hundred forty-six million, three hundred seventy-five thousand, four hundred forty".