14193788034240 has 560 divisors, whose sum is σ = 53000860695552. Its totient is φ = 3598739933184.

The previous prime is 14193788034211. The next prime is 14193788034281. The reversal of 14193788034240 is 4243088739141.

14193788034240 is a `hidden beast` number, since 1 + 4 + 193 + 78 + 8 + 0 + 342 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99487437 + ... + 99630003.

Almost surely, 2^{14193788034240} is an apocalyptic number.

14193788034240 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 14193788034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26500430347776).

14193788034240 is an abundant number, since it is smaller than the sum of its proper divisors (38807072661312).

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

14193788034240 is a wasteful number, since it uses less digits than its factorization.

14193788034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142786 (or 142767 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 14193788034240 in words is "fourteen trillion, one hundred ninety-three billion, seven hundred eighty-eight million, thirty-four thousand, two hundred forty".