14132845440 has 512 divisors, whose sum is σ = 59065344000. Its totient is φ = 3125329920.

The previous prime is 14132845429. The next prime is 14132845459. The reversal of 14132845440 is 4454823141.

14132845440 is a `hidden beast` number, since 1 + 4 + 1 + 32 + 84 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14132845395 and 14132845404.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3747876 + ... + 3751644.

It is an arithmetic number, because the mean of its divisors is an integer number (115362000).

Almost surely, 2^14132845440 is an apocalyptic number.

14132845440 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 14132845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29532672000).

14132845440 is an abundant number, since it is smaller than the sum of its proper divisors (44932498560).

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

14132845440 is a wasteful number, since it uses less digits than its factorization.

14132845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 14132845440 in words is "fourteen billion, one hundred thirty-two million, eight hundred forty-five thousand, four hundred forty".