4240093236480 has 864 divisors, whose sum is σ = 16069406371200. Its totient is φ = 1067501223936.

The previous prime is 4240093236419. The next prime is 4240093236541. The reversal of 4240093236480 is 846323900424.

4240093236480 is a `hidden beast` number, since 4 + 2 + 400 + 9 + 3 + 236 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4240093236419) and next prime (4240093236541).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1991588056 + ... + 1991590184.

Almost surely, 2^{4240093236480} is an apocalyptic number.

4240093236480 is a gapful number since it is divisible by the number (40) 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 4240093236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8034703185600).

4240093236480 is an abundant number, since it is smaller than the sum of its proper divisors (11829313134720).

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

4240093236480 is a wasteful number, since it uses less digits than its factorization.

4240093236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4240093236480 in words is "four trillion, two hundred forty billion, ninety-three million, two hundred thirty-six thousand, four hundred eighty".