14475075840 has 360 divisors, whose sum is σ = 52197730200. Its totient is φ = 3830022144.

The previous prime is 14475075817. The next prime is 14475075841. The reversal of 14475075840 is 4857057441.

14475075840 is a `hidden beast` number, since 14 + 4 + 7 + 50 + 7 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 429981696 + 14045094144 = 20736^2 + 118512^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14475075841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15447852 + ... + 15448788.

It is an arithmetic number, because the mean of its divisors is an integer number (144993695).

Almost surely, 2^14475075840 is an apocalyptic number.

14475075840 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 14475075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26098865100).

14475075840 is an abundant number, since it is smaller than the sum of its proper divisors (37722654360).

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

14475075840 is an equidigital number, since it uses as much as digits as its factorization.

14475075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 14475075840 in words is "fourteen billion, four hundred seventy-five million, seventy-five thousand, eight hundred forty".