14073140880 has 560 divisors, whose sum is σ = 52036156080. Its totient is φ = 3532419072.

The previous prime is 14073140857. The next prime is 14073140881. The reversal of 14073140880 is 8804137041.

14073140880 is a `hidden beast` number, since 140 + 7 + 31 + 408 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36578304 + 14036562576 = 6048^2 + 118476^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14073140881) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 89637762 + ... + 89637918.

Almost surely, 2^14073140880 is an apocalyptic number.

14073140880 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 14073140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26018078040).

14073140880 is an abundant number, since it is smaller than the sum of its proper divisors (37963015200).

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

14073140880 is a wasteful number, since it uses less digits than its factorization.

14073140880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 14073140880 in words is "fourteen billion, seventy-three million, one hundred forty thousand, eight hundred eighty".