4240965560832 has 2880 divisors, whose sum is σ = 18257071472640. Its totient is φ = 928043827200.

The previous prime is 4240965560831. The next prime is 4240965560833. The reversal of 4240965560832 is 2380655690424.

4240965560832 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 9 + 6 + 556 + 0 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4240965560831) and next prime (4240965560833).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-3 number, since 3×4240965560832³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4240965560831) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 19017782673 + ... + 19017782895.

It is an arithmetic number, because the mean of its divisors is an integer number (6339260928).

Almost surely, 2^{4240965560832} is an apocalyptic number.

4240965560832 is a gapful number since it is divisible by the number (42) 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 4240965560832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9128535736320).

4240965560832 is an abundant number, since it is smaller than the sum of its proper divisors (14016105911808).

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

4240965560832 is a wasteful number, since it uses less digits than its factorization.

4240965560832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 4240965560832 in words is "four trillion, two hundred forty billion, nine hundred sixty-five million, five hundred sixty thousand, eight hundred thirty-two".