14293340087040 has 864 divisors, whose sum is σ = 57267527990400. Its totient is φ = 3224027529216.

The previous prime is 14293340086997. The next prime is 14293340087041. The reversal of 14293340087040 is 4078004339241.

14293340087040 is a `hidden beast` number, since 1 + 42 + 93 + 3 + 400 + 87 + 0 + 40 = 666.

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 (14293340087041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1886407732 + ... + 1886415308.

It is an arithmetic number, because the mean of its divisors is an integer number (66281861100).

Almost surely, 2^{14293340087040} is an apocalyptic number.

14293340087040 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 14293340087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28633763995200).

14293340087040 is an abundant number, since it is smaller than the sum of its proper divisors (42974187903360).

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

14293340087040 is a wasteful number, since it uses less digits than its factorization.

14293340087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 14293340087040 in words is "fourteen trillion, two hundred ninety-three billion, three hundred forty million, eighty-seven thousand, forty".