42240917214720 has 1920 divisors, whose sum is σ = 185069050822656. Its totient is φ = 9013562966016.

The previous prime is 42240917214719. The next prime is 42240917214721. The reversal of 42240917214720 is 2741271904224.

42240917214720 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 0 + 9 + 172 + 1 + 472 + 0 = 666.

42240917214720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42240917214719) and next prime (42240917214721).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42240917214721) 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 191 ways as a sum of consecutive naturals, for example, 9401492794 + ... + 9401497286.

Almost surely, 2^{42240917214720} is an apocalyptic number.

42240917214720 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 42240917214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534525411328).

42240917214720 is an abundant number, since it is smaller than the sum of its proper divisors (142828133607936).

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

42240917214720 is a wasteful number, since it uses less digits than its factorization.

42240917214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 42240917214720 in words is "forty-two trillion, two hundred forty billion, nine hundred seventeen million, two hundred fourteen thousand, seven hundred twenty".