14451045840 has 1280 divisors, whose sum is σ = 69424128000. Its totient is φ = 2667479040.

The previous prime is 14451045811. The next prime is 14451045841. The reversal of 14451045840 is 4854015441.

It is a super-4 number, since 4×14451045840⁴ (a number of 42 digits) contains 4444 as substring.

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 = 14451045795 and 14451045804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14451045841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 53721226 + ... + 53721494.

It is an arithmetic number, because the mean of its divisors is an integer number (54237600).

Almost surely, 2^14451045840 is an apocalyptic number.

14451045840 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 14451045840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34712064000).

14451045840 is an abundant number, since it is smaller than the sum of its proper divisors (54973082160).

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

14451045840 is a wasteful number, since it uses less digits than its factorization.

14451045840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 14451045840 in words is "fourteen billion, four hundred fifty-one million, forty-five thousand, eight hundred forty".